scientific article; zbMATH DE number 3410334
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zbMath0259.60002MaRDI QIDQ5674726
Publication date: 1972
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Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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I, Branching random walks. II, Some convergence rate results for the Bellman-Harris process with immigration, Limit theorems for age and density dependent stochastic population models, Some new limit theorems for the critical branching process allowing immigration, Continuous branching processes and spectral positivity, Perturbations of the nonlinear renewal equation, A stochastic theory for rate genes in large populations with overlapping generations, A condition for the extinction of a branching process with an absorbing lower barrier, Asymptotic behaviour of Wiener-Hopf factors of a random walk, A supercritical branching process with state dependent immigration, A subcritical branching process with state dependent immigration, Conditioning a branching process on non-extinction, Monotone matrices and monotone Markov processes, Limit theorems for the critical age-dependent branching process with infinite variance, Some modified branching diffusion models, A central limit theorem for martingales and an application to branching processes, Lag time in microbe growth as an age-dependent branching process with two phase types, Continuity of a class of random time trnsformations, A stochastic model for the transmission of bilharzia, r-te Momente von Punktprozessen, The genealogy of critical branching processes, On a modified Markov branching process, On the survival of branching processes in random environments, Survival in hostile environments, On regular branching processes with infinite mean, The age of a Markov process, Critical multitype branching processes with infinite variance, Subexponential distributions and characterizations of related classes, Models for haplotype evolution in a nonstationary population, Some statistical improvements for estimating population size and mutation rate from segregating sites in DNA sequences, Statistical inference for a multitype epidemic model, Population dynamics under parasitic sex ratio distortion, Functional central limit theorem for a random walk in a random environment, Unpredictable paths and percolation, Limit set of a weakly supercritical contact process on a homogeneous tree, A fractal approach for the statistics of extremes with application to evolutionary biology, Absorbing Markov and branching processes with instantaneous resurrection, Rates of decay for the survival probability of a mutant gene. II: The multitype case, Subexponentiality of the product of independent random variables, Time-continuous branching walk models of unstable gene amplification, Local field Brownian motion, Statistically self-affine sets: Hausdorff and box dimensions, The maximum of a branching random walk with semiexponential increments, The genealogy of a cluster in the multitype voter model., Vertex-reinforced random walk on arbitrary graphs, Loss network representation of Peierls contours, A scaling limit theorem for a class of superdiffusions, Reconstruction on trees: Beating the second eigenvalue, Exact convergence rates for the distribution of particles in branching random walks, Asexual versus promiscuous bisexual Galton-Watson processes: The extinction probability ratio, Asymptotic behavior of absorbing Markov chains conditional on nonabsorption for applications in conservation biology, Large deviations of cancer recurrence timing, Population-size-dependent and age-dependent branching processes., Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration., Immortal branching Markov processes: Averaging properties and PCR applications., Local limit theory and large deviations for supercritical branching processes., On discrete \(\alpha\)-unimodality, Generalized iteration, Smoothness of the intensity measure density for interacting branching diffusions with immigra\-tions, On the quantity and quality of single nucleotide polymorphisms in the human genome., Convergence in probability and almost sure with applications., Markov branching processes regulated by emigration and large immigration, Stochastic analysis of the fracture of solids with microcracks, Branching random walks with acritical branching part, The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain, The exact Hausdorff dimension of a branching set, Tails of subordinated laws: The regularly varying case, Intersection-equivalence of Brownian paths and certain branching processes, Stochastic methodology for the study of an epidemic decay phase, based on a branching model, A decomposable branching process in a Markovian environment, A class of multifractal processes constructed using an embedded branching process, Excited Brownian motions as limits of excited random walks, Robust periodic solutions and evolution from seeds in one-dimensional edge cellular automata, Giant vacant component left by a random walk in a random \(d\)-regular graph, The coalescent point process of branching trees, Alignment-free phylogenetic reconstruction: Sample complexity via a branching process analysis, High host density favors greater virulence: a model of parasite-host dynamics based on multi-type branching processes, Quasi-stationary distributions and population processes, Statistics for the Luria-Delbrück distribution, Respondent-driven sampling on directed networks, The number of absorbed individuals in branching Brownian motion with a barrier, Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees, Simulating the emergence of mutations and their subsequent evolution in an age-structured stochastic self-regulating process with two sexes, Modeling neutral evolution using an infinite-allele Markov branching process, Brunet-Derrida behavior of branching-selection particle systems on the line, A stochastic model of temporally regulated generation of oligodendrocytes in cell culture, Banach algebras of measures on the real line with a given asymptotics of distributions at infinity, Strongly subexponential distributions and Banach algebras of measures, Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes, An exactly solvable continuous-time Derrida-Retaux model, Moments of continuous-state branching processes with or without immigration, Approximation of a generalized continuous-state branching process with interaction, A stochastic model for reproductive isolation under asymmetrical mating preferences, Quasi-stationary distributions for subcritical superprocesses, A stochastic epidemic model for the dynamics of two pathogens in a single tick population, The survival probability of critical and subcritical branching processes in finite state space Markovian environment, The importance of being atomic: ecological invasions as random walks instead of waves, An eco-evolutionary approach of adaptation and recombination in a large population of varying size, Competing growth processes with random growth rates and random birth times, Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics, On the maximal displacement of near-critical branching random walks, Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective, Optimisation-based representations for branching processes, DNA damage caused by ionizing radiation, DNA damage in non-proliferating cells subjected to ionizing irradiation at high or low dose rates, The heat equation with Lévy noise, Hausdorff dimensions of random net fractals, A critical branching process with immigration in random environment, Down/up crossing properties of weighted Markov collision processes, Lower deviations for supercritical branching processes with immigration, Multitype weakly subcritical branching processes in random environment, Syntactic stochastic processes: definitions, models, and related inference problems, The interplay of dormancy and transfer in bacterial populations: invasion, fixation and coexistence regimes, Frozen percolation on the binary tree is nonendogenous, Long time behaviour for Markovian branching-immigration systems, Haldane's formula in Cannings models: the case of moderately strong selection, On transient phenomena in branching random processes with discrete time, On a stochastic integral of a branching process, Sufficient condition for root reconstruction by parsimony on binary trees with general weights, A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes, Quasi-likelihood estimation for semimartingales, Faà di Bruno's formula and inversion of power series, A branching process model of evolutionary rescue, Linear competition processes and generalized Pólya urns with removals, Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems, A note on the local asymptotic mixed normality of a controlled branching process with a random control function, Quenched convergence rates for a supercritical branching process in a random environment, New characterization of the weak disorder phase of directed polymers in bounded random environments, Parameter estimation in branching processes with almost sure extinction, Sharp phase transition for random loop models on trees, Criteria for geometric and algebraic transience for discrete-time Markov chains, Analytical Bayesian models to quantify pest eradication success or species absence using zero-sighting records, Maximum likelihood estimation for a branching diffusion process, Almost sure convergence of randomized urn models with application to elephant random walk, Trees with power-like height dependent weight, Stochastic renormalization group in percolation. I: Fluctuations and crossover, Estimation of the solutions of Volterra difference equations, Uniqueness and extinction properties of generalised Markov branching processes, Asymptotic degree distribution in a homogeneous evolving network model, An asymptotic property of branching-type overloaded polling networks, A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak, On the application of slowly varying functions with remainder in the theory of Markov branching processes with mean one and infinite variance, A note on branching Lévy processes, Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks, The distribution of the spine of a Fleming-Viot type process, Polling: past, present, and perspective, Evolution of resistance and progression to disease during clonal expansion of cancer, The finite-time ruin probability of a risk model with stochastic return and Brownian perturbation, Quantifying stochastic introgression processes with hazard rates, The early phase of a bacterial insertion sequence infection, Large deviation principle for the maximal positions in critical branching random walks with small drifts, Looking for the right mate in diploid species: how does genetic dominance affect the spatial differentiation of a sexual trait?, Thresholds and initial growth rates in a model of parasitic infection, A revisit to asymptotic ruin probabilities for a bidimensional renewal risk model, Regularly varying non-stationary Galton-Watson processes with immigration, Modelling low pathogenic avian influenza introduction into the commercial poultry industry, Preventing epidemics with age-specific vaccination schedules, Estimation for an adaptive allocation design, Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs, The asymptotic behavior of one-sided large deviation probabilities. II, Convergence rates and limit theorems for the dual Markov branching process, Branching processes in continuous time as models of mutations: computational approaches and algorithms, A joint estimator for the eigenvalues of the reproduction mean matrix of a multitype Galton-Watson process, Branching process models for mutant genes in nonstationary populations, Critical multi-type Galton-Watson trees conditioned to be large, On the convergence of multitype branching processes with varying environments, Resistance growth of branching random networks, The polymorphic evolution sequence for populations with phenotypic plasticity, The asymptotic behavior of an urn model arising, A note on weak convergence results for infinite causal triangulations, Central limit theorems for urn models, On asymptotics of branching processes with immigration, Additional aspects of the generalized linear-fractional branching process, Functional limit theorems for Galton-Watson processes with very active immigration, Functions of probability measures, \(L^2\) limits of generalized Jiřina processes, Harmonic moments and large deviations for supercritical branching processes with immigration, Decay properties of \(n\)-type Markov branching processes with disasters, First- and second-order expansions in the central limit theorem for a branching random walk, Time inhomogeneous mutation models with birth date dependence, Phase transition for the Maki-Thompson rumour model on a small-world network, The genealogical decomposition of a matrix population model with applications to the aggregation of stages, Fractal dimensions and random walks on random trees., On generalized multiplicative cascades, Harmonic moments and large deviation rates for supercritical branching processes, Multitype branching limit behavior, Asymptotic loss probability in a finite buffer fluid queue with heterogeneous heavy-tailed on-off processes, Partial immunization processes, Fluctuation analysis on mutation models with birth-date dependence, Product structure of heat phase space and branching Brownian motion., Stochastic dynamics of an epidemic with recurrent spillovers from an endemic reservoir, Normalisation d'un processus de branchement critique dans un environnement aléatoire. (Normalization of a critical branching process in a random environment), On the probability of extinction of a Galton-Watson process., Modeling a trait-dependent diversification process coupled with molecular evolution on a random species tree, Information flow on trees, On the separating variables method for Markov death-process equations, The phase diagram of the complex branching Brownian motion energy model, The sojourn time and related characteristics of the age-dependent branching process, A phase transition for a random cluster model on phylogenetic trees., Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today., Sub- or supercritical transmissibilities in a finite disease outbreak: symmetry in outbreak properties of a disease conditioned on extinction, A pathwise approach to the extinction of branching processes with countably many types, A critical threshold for design effects in network sampling, Modelling high pathogenic avian influenza outbreaks in the commercial poultry industry, Asymptotic behaviors for critical branching processes with immigration, Analysis of deterministic and stochastic mathematical models with resistant bacteria and bacteria debris for bacteriophage dynamics, Limit theorems for bounded branching processes, Porosities of Mandelbrot percolation, Generalized Markov interacting branching processes, A stochastic model for speciation by mating preferences, Statistical inference of 2-type critical Galton-Watson processes with immigration, The continuous-time triangular Pólya process, Large and moderate deviations for the total population arising from a sub-critical Galton-Watson process with immigration, Recurrence and transience of contractive autoregressive processes and related Markov chains, Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders, The coalescence of intrahost HIV lineages under symmetric CTL attack, Polling models with multi-phase gated service, Absolutely continuous spectrum for multi-type Galton-Watson trees, An asymptotic maximum principle for essentially linear evolution models, Asymptotic properties and absolute continuity of laws stable by random weighted mean., Continuum percolation with steps in an annulus, Limit laws of estimators for critical multi-type Galton-Watson processes, On the existence of \(\varphi\)-moments of the limit of a normalized supercritical Galton-Watson process, Criticality for branching processes in random environment, Branching processes, and random-cluster measures on trees, Analytic urns, Viral spreading of daily information in online social networks, The free energy in the Derrida-Retaux recursive model, A branching process model of ovarian cancer, Typical behavior of the harmonic measure in critical Galton-Watson trees with infinite variance offspring distribution, Vertex-reinforced random walk on \(\mathbb Z\) has finite range, Distributions of cherries for two models of trees, The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters, Branching processes with dependence but homogeneous growth, Asymptotic theorems for urn models with nonhomogeneous generating matrices, Self-intersection local time on \({\mathcal S}'(\mathbb R^d)\)-valued process involving motions of two types, Minimum Hellinger distance estimation for supercritical Galton-Watson processes, Multitype branching processes with disasters. I: The number of particles in the system, Modelling heterogeneities in individual frailties in epidemic models., Jump-diffusion Markov processes on orthogonal groups for object pose estimation, An adaptive design for multi-arm clinical trials, Random 2-SAT and unsatisfiability, Nonparametric estimation of the division rate of an age dependent branching process, Branching within branching: a model for host-parasite co-evolution, First passage percolation on the Newman-Watts small world model, Distributions in a class of Poissonized urns with an application to Apollonian networks, An individual-based model for the Lenski experiment, and the deceleration of the relative fitness, Markov branching processes with killing and resurrection, Lyapunov exponents for branching processes in a random environment: the effect of information, Sequential design for binary dose-response experiments, Projections of the natural measure for percolation fractals, Extinction of decomposable branching processes, A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations, Large deviation for supercritical branching processes with immigration, A stochastic model of eye lens growth, Central limit theorem through expansion of the propagation of chaos for Bird and Nanbu systems, Mathematical models of the cell cycle with a view to tumor studies, Limit theorems for a critical branching process with immigration, Analysis of the correlations for stochastic multicompartmental systems, A rigorous model study of the adaptive dynamics of Mendelian diploids, On the first birth and the last death in a generation in a multi-type Markov branching process, Brownian crossings via regeneration times, Probability of a disease outbreak in stochastic multipatch epidemic models, Perturbing transient random walk in a random environment with cookies of maximal strength, Identifiability of age-dependent branching processes from extinction probabilities and number distributions, On explosions in heavy-tailed branching random walks, Near critical catalyst reactant branching processes with controlled immigration, Dimension (In)equalities and Hölder continuous curves in fractal percolation, Virus replication as a phenotypic version of polynucleotide evolution, Lévy processes conditioned on having a large height process, Size-biased branching population measures and the multi-type \(x \log x\) condition, Detection of cellular aging in a Galton-Watson process, Asymptotic independence of queues under randomized load balancing, Uniqueness, recurrence and decay properties of collision branching processes with immigration, Weighted moments for the limit of a normalized supercritical Galton-Watson process, Limiting mixture distributions for AR(1) model indexed by a branching process, VRRW on complete-like graphs: almost sure behavior, To what extent does genealogical ancestry imply genetic ancestry?, Small value probabilities for supercritical multitype branching processes with immigration, A strongly polynomial algorithm for criticality of branching processes and consistency of stochastic context-free grammars, Electrical resistance of the low dimensional critical branching random walk, Variational characterization of multitype Galton-Watson branching processes, Occupation statistics of critical branching random walks in two or higher dimensions, Finite size percolation in regular trees, Stochastic model for cell polarity, Evaluation of multitype mathematical models for CFSE-labeling experiment data, Limit distributions for large Pólya urns, Almost sure central limit theorem for branching random walks in random environment, Asymptotics of randomly stopped sums in the presence of heavy tails, Diffusion and cascading behavior in random networks, Algorithmic approach to the extinction probability of branching processes, Central limit theorems for a supercritical branching process in a random environment, Survival, extinction and approximation of discrete-time branching random walks, Lambert's \(W\), infinite divisibility and Poisson mixtures, Two-sex branching models with random control on the number of progenitor couples, Fundamentals of Stein's method, Spectral dimension of trees with a unique infinite spine, Branching random walks in space-time random environment: Survival probability, global and local growth rates, Pruning Galton-Watson trees and tree-valued Markov processes, Total progeny in killed branching random walk, Continuous-time vertex reinforced jump processes on Galton-Watson trees, Coalescence in the recent past in rapidly growing populations, Limit properties of transition functions of continuous-time Markov branching processes, The simple harmonic urn, Random recursive triangulations of the disk via fragmentation theory, Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling, Asymptotic behavior of CLS estimators for 2-type doubly symmetric critical Galton-Watson processes with immigration, Estimation of the infection parameter of an epidemic modeled by a branching process, Limit theorems for Markov processes indexed by continuous time Galton-Watson trees, On two-queue Markovian polling systems with exhaustive service, Calculations for multi-type age-dependent binary branching processes, Species abundance distributions in neutral models with immigration or mutation and general lifetimes, Quasilimiting behavior for one-dimensional diffusions with killing, Moments, moderate and large deviations for a branching process in a random environment, A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent, The almost sure limits of the minimal position and the additive martingale in a branching random walk, The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees, Time to extinction in subcritical two-sex branching processes, A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket, Joint estimation of offspring mean and offspring variance of controlled branching process, The interplay of two mutations in a population of varying size: A stochastic eco-evolutionary model for clonal interference, A branching process model of heterogeneous DNA damages caused by radiotherapy in \textit{in vitro} cell cultures, Limit theorems for a supercritical branching process with immigration in a random environment, On a notion of partially conditionally identically distributed sequences, Exact convergence rate of the local limit theorem for branching random walks on the integer lattice, Large deviations for i.i.d. replications of the total progeny of a Galton-Watson process, On the maximal displacement of subcritical branching random walks, The total external length of the evolving Kingman coalescent, Smaller population size at the MRCA time for stationary branching processes, Tail generating functions for extendable branching processes, Fixation times in differentiation and evolution in the presence of bottlenecks, deserts, and oases, Uniqueness of post-gelation solutions of a class of coagulation equations, Analysis of a stochastic predator-prey model with applications to intrahost HIV genetic diversity, Traveling waves of selective sweeps, The value of information for populations in varying environments, Weak convergence results for multiple generations of a branching process, The contact process on the complete graph with random vertex-dependent infection rates, The branching process with logistic growth, Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction, Second order branching process with continuous state space, Qualitative reachability in stochastic BPA games, The birth process with immigration, and the genealogical structure of large populations, Computable examples of the maximal Lyapunov exponent, Asymptotic expansions in the central limit theorem for a branching Wiener process, A critical branching process with immigration in varying environments, The evaluation of a weighted sum of Gauss hypergeometric functions and its connection with Galton-Watson processes, Search cost for a nearly optimal path in a binary tree, Central limit theorem for branching Brownian motions in random environment, The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations, Branching stochastic processes with immigration in analysis of renewing cell populations, Phase transitions in dynamical random graphs, Stochastic process semantics for dynamical grammars, Pseudo-likelihood estimation for discretely observed multitype Bellman--Harris branching proc\-esses, Limit theorems for triangular urn schemes, On multidimensional branching random walks in random environment, Second order behaviour of ruin probabilities in the case of large claims, Mutation, selection, and ancestry in branching models: a variational approach, Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration, Adaptive gene introgression after secondary contact, On quantum percolation in finite regular graphs, Estimating the within-household infection rate in emerging SIR epidemics among a community of households, Extinction window of mean field branching annihilating random walk, Smoothing equations for large Pólya urns, Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution, A note on the maximal outdegrees of Galton-Watson trees, On qualitative robustness of the Lotka-Nagaev estimator for the offspring mean of a supercritical Galton-Watson process, Moment asymptotics for multitype branching random walks in random environment, The generalized Kolmogorov criterion, Markov branching processes with instantaneous immigration, A phase transition for the coupled branching process. I: The ergodic theory in the range of finite second moments, Open systems of splitting particles, Newton's iteration for the extinction probability of a Markovian binary tree, Markovian trees: Properties and algorithms, The tail behaviour of a random sum of subexponential random variables and vectors, Large deviations for sums indexed by the generations of a Galton-Watson process, The diameter of protean graphs, Weighted height of random trees, Reservoir interactions and disease emergence, SIR dynamics in random networks with heterogeneous connectivity, Central limit theorem for branching random walks in random environment, Effective branching splitting method under cost constraint, Exponential inequalities for self-normalized martingales with applications, Catalytic discrete state branching models and related limit theorems, Localization for branching Brownian motions in random environment, A limit theorem for trees of alleles in branching processes with rare neutral mutations, Itô's excursion theory and random trees, Large deviations for transient random walks in random environment on a Galton-Watson tree, The two uniform infinite quadrangulations of the plane have the same law, On the cluster size distribution for percolation on some general graphs, Critical branching random walks with small drift, A functional limit theorem for the profile of \(b\)-ary trees, Quenched law of large numbers for branching Brownian motion in a random medium, Invariance principles for spatial multitype Galton-Watson trees, On lower limits and equivalences for distribution tails of randomly stopped sums, Small value probabilities via the branching tree heuristic, Limit theorems for generalized Jiřina processes, The phenotypic equilibrium of cancer cells: from average-level stability to path-wise convergence, On symmetry of uniform and preferential attachment graphs, Relative frequencies in multitype branching processes, On the identification of a supercritical branching process, Logarithmic moving averages, The ancestral selection graph under strong directional selection, Branching Markov processes and related asymptotics, Drop-the-loser design in the presence of covariates, An epidemic model with infector and exposure dependent severity, Twitter event networks and the superstar model, The set of solutions of random XORSAT formulae, Localization for branching random walks in random environment, Tightness for a family of recursion equations, Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees, Single-channel system with circular access or processor-sharing and branching processes, Population processes under the influence of disasters occurring independently of population size, A series concerning subcritical multitype branching processes, A waiting time problem arising from the study of multi-stage carcinogenesis, Simulating the emergence and survival of mutations using a self regulating 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the eigensolution in a non-compact case, Diffusion approximation of branching processes in semi-Markov environment, Invasion and fixation of microbial dormancy traits under competitive pressure, On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees, Harmonic moments and large deviations for a critical Galton-Watson process with immigration, Some properties of stationary continuous state branching processes, Geometric branching reproduction Markov processes, Preferential attachment without vertex growth: emergence of the giant component, The Horton-Strahler number of conditioned Galton-Watson trees, A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate, Moments of the stationary distribution of subcritical multitype Galton-Watson processes with immigration, Analyzing probabilistic pushdown automata, The closure property of 2RV under random sum, A predator-prey SIR type dynamics on large complete graphs with three phase transitions, Supercritical percolation on large scale-free random trees, Asymptotic properties of supercritical branching processes in random environments, A note on the path to extinction of critical Markov branching processes, On large deviation probabilities for empirical distribution of supercritical branching random walks with unbounded displacements, Supercritical superprocesses: proper normalization and non-degenerate strong limit, The genealogy of Galton-Watson trees, Hereditary tree growth and Lévy forests, A continuous-state polynomial branching process, A version of Herbert A. Simon's model with slowly fading memory and its connections to branching processes, High order moments of first hitting times for single death processes, Purely excessive functions and hitting times of continuous-time branching processes, Jump processes on the boundaries of random trees, Self-similar solutions of kinetic-type equations: the boundary case, Optimal survival strategy for branching Brownian motion in a Poissonian trap field, Spine decompositions and limit theorems for a class of critical superprocesses, An analysis of budgeted parallel search on conditional Galton-Watson trees, A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale, A note on exact convergence rate in the local limit theorem for a lattice branching random walk, Sample path properties of the average generation of a Bellman-Harris process, Stochastic equations and limit results for some two-type branching models, Exact convergence rate in the local central limit theorem for a lattice branching random walk on \(\mathbb{Z}^d\), A conditioned continuous-state branching process with applications, A general continuous-state nonlinear branching process, A test of homogeneity for age-dependent branching processes with immigration, Perturbation analysis of the extinction probability of a Markovian binary tree, Convergence of generalized urn models to non-equilibrium attractors, New even and odd coherent states attached to the Hermite polynomials, Probabilistic properties of second order branching process, Scaling limits of random planar maps with a unique large face, A new approach in analyzing extinction probability of Markov branching process with immigration and migration, Dualities for multi-state probabilistic cellular automata, The role of heterogeneity on the invasion probability of mosquito-borne diseases in multi-host models, Critical percolation and the incipient infinite cluster on Galton-Watson trees, Asymptotic properties of expansive Galton-Watson trees, Invasion percolation on Galton-Watson trees, Persistent and susceptible bacteria with individual deaths, Measure-valued Markov branching processes conditioned on non-extinction, The number and sum of lifetimes of overaged cells in modified branching processes, Growth of Lévy trees, Some limit theorems for a particle system of single point catalytic branching random walks, A Stochastic Model for Virus Growth in a Cell Population, Uniqueness and Decay Properties of Markov Branching Processes with Disasters, Alignment percolation, The Maki-Thompson rumor model on infinite Cayley trees, Quenched survival of Bernoulli percolation on Galton-Watson trees, A characterisation of the reconstructed birth-death process through time rescaling, SCALING OF FLOW DISTANCE IN RANDOM SELF-SIMILAR CHANNEL NETWORKS, A note on asymptotic behavior of critical Galton-Watson processes with immigration, Factorial moments of the critical Markov branching process with geometric reproduction of particles, Speed of excited random walks with long backward steps, Contact tracing \& super-spreaders in the branching-process model, Asymptotic behavior of critical indecomposable multi-type branching processes with immigration, The diameter of the directed configuration model, Asymptotic ruin probabilities for a renewal risk model with a random number of delayed claims, T. E. Harris and branching processes, Quasi- and pseudo-maximum likelihood estimators for discretely observed continuous-time Markov branching processes, Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022, On the stability of a queueing system with uncountably branching fluid limits, Uniqueness and extinction of weighted Markov branching processes, Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models, Loop-erased random walk on the Sierpinski gasket, A numerical algorithm for a class of BSDEs via the branching process, Solutions of kinetic-type equations with perturbed collisions, Ancestral reproductive bias in branching processes, Théorèmes limites avec poids pour les martingales vectorielles, Optimization and phenotype allocation, On the probability of extinction in a periodic environment, Small value probabilities for supercritical branching processes with immigration, Weighted moments of the limit of a branching process in a random environment, Sevastyanov branching processes with non-homogeneous Poisson immigration, Evolution of branching processes in a random environment, Critical Bellman-Harris branching processes with long-living particles, Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case, Linear-fractional branching processes with countably many types, A small-time coupling between \(\Lambda\)-coalescents and branching processes, Adaptation in a stochastic multi-resources chemostat model, Central limit theorems for supercritical branching Markov processes, Hopf algebras and Markov chains: two examples and a theory, Limit theorems for supercritical age-dependent branching processes with neutral immigration, Beta-coalescents and continuous stable random trees, On Probabilistic Parallel Programs with Process Creation and Synchronisation, A functional CLT for the occupation time of a state-dependent branching random walk, Regenerative real trees, Towards a unifying theory on branching-type polling systems in heavy traffic, Asymptotics of the Invariant Measure of a Generalized Markov Branching Process, Tail expansions for the distribution of the maximum of a random walk with negative drift and regularly varying increments, Random environment on coloured trees, The speed of a branching system of random walks in random environment, New Limiting Distributions for Bellman-Harris Processes, APPROXIMATION OF EXCEEDANCE PROCESSES IN LARGE POPULATIONS, Scenery reconstruction with branching random walk, Estimating the distribution of the \(G_{2}\) phase duration from flow cytometric histograms, On the number of productive individuals in the Bienayme-Galton-Watson process with immigration, Sur quelques théorèmes de convergence du processus de naissance avec interaction des voisins, BIAS CALCULATIONS FOR ADAPTIVE URN DESIGNS, A central limit theorem for biased random walks on Galton-Watson trees, Asymptotic expansions for infinite weighted convolutions of rapidly varying subexponential distributions, Probabilistic approach in weighted Markov branching processes, A once edge-reinforced random walk on a Galton-Watson tree is transient, On statistical tests of phylogenetic tree imbalance: The Sackin and other indices revisited, Limit theorems for sums of random exponentials, General Harris regularity criterion for non-linear Markov branching processes, Urn designs with immigration: useful connection with continuous time stochastic processes, The hyperbolic geometry of random transpositions, Probability of fixation under weak selection: a branching process unifying approach, Contagions in random networks with overlapping communities, Escape from the boundary in Markov population processes, A sharp inequality for the tail probabilities of sums of i.i.d. r.v.'s with dominatedly varying tails, A microscopic interpretation for adaptive dynamics trait substitution sequence models, Recursive Markov Decision Processes and Recursive Stochastic Games, On linear birth-and-death processes in a random environment, Asymptotic finite-time ruin probability for a bidimensional renewal risk model with constant interest force and dependent subexponential claims, Applications of the variance of final outbreak size for disease spreading in networks, From Spin Glasses to Branching Brownian Motion—and Back?, Regularity criterion for 2-type Markov branching processes with immigration, Markovian Trees Subject to Catastrophes: Would They Survive Forever?, DRAWING MULTISETS OF BALLS FROM TENABLE BALANCED LINEAR URNS, The bisexual Galton-Watson process with promiscuous mating: Extinction probabilities in the supercritical case, A stochastic model of tumor response to fractionated radiation: limit theorems and rate of convergence, Infinite divisibility and generalized subexponentiality, Functional limit theorems for strongly subcritical branching processes in random environment, Random partitions approximating the coalescence of lineages during a selective sweep, Conditional Distributions and Waiting Times in Multitype Branching Processes, A Host-Parasite Model for a Two-Type Cell Population, Anisotropic contact processes on homogeneous trees., Large deviations for squared radial Ornstein-Uhlenbeck processes., On weighted branching processes in random environment., Functional limit theorems for multitype branching processes and generalized Pólya urns., Attainability of boundary points under reinforcement learning, Extinction Probability of Interacting Branching Collision Processes, Longest Path Distance in Random Circuits, A multitype infinite-allele branching process with applications to cancer evolution, Limit theorems for decomposable branching processes in a random environment, Unnamed Item, Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigration, The Weighted Branching Process, A Special Family of Galton-Watson Processes with Explosions, Inference for Emerging Epidemics Among a Community of Households, On Two-Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction, Estimation of extinction probability of a multitype markov branching process, Convolutions of Long-Tailed and Subexponential Distributions, Limit Theorems for Random Triangular URN Schemes, Stochastic Process Creation, The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions, Unnamed Item, A Galton–Watson process with a threshold, A criterion of convergence of measure‐valued processes: application to measure branching processes, On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders, Branching Random Walks, Large and moderate deviations for the total population in the nearly unstable INAR(1) model, Unnamed Item, Berry-Esseen type inequality for a Poisson randomly indexed branching process via Stein's method, Unnamed Item, A Critical Emigration Branching Process, Spectral Asymptotics of a Supercritical Branching Random Walk, Unnamed Item, SEQUENTIAL ESTIMATION FOR SUPERCRITICAL BRANCHING PROCESSES, Markov dependence in renewal equations and random sums with heavy tails, Growth of Integral Transforms and Extinction in Critical Galton-Watson Processes, First-Order Integer-Valued Autoregressive (INAR (1)) Process: Distributional and Regression Properties, Some nonlinear stochastic growth models, Reduced Critical Branching Processes for Small Populations, On Prolific Individuals in a Supercritical Continuous-State Branching Process, Epidemics on Random Graphs with Tunable Clustering, Asymptotic Behavior of Cell Populations Described by Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Immigration, Stochastic Modelling of Multiple Random Genetic Mutations Under the Cancer Stem Cell Hypothesis, Expectation maximization estimates of the offspring probabilities in a class of multitype branching processes with binary family trees, DYNAMICS OF AN INSERTION SEQUENCE INFECTION IN A SPATIALLY STRUCTURED ENVIRONMENT, Population Dynamics and Random Genealogies, Competition in growth and urns, On two classes of reflected autoregressive processes, The Expected Source Time of a Subcritical Multitype Galton-Watson Process, Stochastic Monotonicity and Continuity Properties of the Extinction Time of Bellman-Harris Branching Processes: An Application to Epidemic Modelling, The critical catastrophe revisited, Stochastic two-group models with transmission dependent on host infectivity or susceptibility, Modeling the within-host dynamics of cholera: bacterial–viral interaction, Extinction thresholds in deterministic and stochastic epidemic models, Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease, On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes, Maximal number of direct offspring in simple branching processes, The critical measure diffusion process, Laplace asymptotics for generalized K.P.P. equation, Diffusion processes on branching Brownian motion, Critical markov branching process limit theorems allowing infinite variance, The collision branching process, The Fractal Character of Localizable Measure-Valued Processes, III. Fractal Carrying Sets of Branching Diffusions, Rate of expansion of an inhomogeneous branching process of brownian particles, Limit theorems for Poisson branching processes, Some general results concerning the critical exponents of percolation processes, Markovian paths to extinction, Some results on first order stochastic models and estimation for diffusion approximation of the multitype galton–watson process, On the invariant events of a markov chain, On the number of vertices with a given degree in a Galton-Watson tree, LIMIT THEOREMS FOR SUBCRITICAL AGE-DEPENDENT BRANCHING PROCESSES WITH TWO TYPES OF IMMIGRATION, Minimal displacement of branching random walk, Limit laws for decomposable critical branching processes, Annihilating and coalescing random walks on ? d, Multitype infinite-allele branching processes in continuous time, Interacting branching processes and linear file-sharing networks, General jump process and time change — or, how to define stochastic operational time, Annihilating and coalescing random walks on ? d, Limiting Distributions for Multitype Branching Processes, On the stationary measures of critical branching processes, The finite-time ruin probability of the compound Poisson model with constant interest force, On the galton-watson branching process: application of a method of moments and recursive determination for certain distributions, Number of particles absorbed in a BBM on the extinction event, Polling systems with periodic server routeing in heavy traffic: distribution of the delay, Urn models and differential algebraic equations, Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model, Extinction Times in Multitype Markov Branching Processes, The age functional for Markov chains, Multitype Bienaymé–Galton–Watson processes escaping extinction, Subexponentiality and infinite divisibility, Energy cascades as branching processes with emphasis on Neveu's approach to Derrida's random energy model, Coalescence times for the branching process, Supercritical multitype branching processes: the ancestral types of typical individuals, Non‐parametric Estimation of the Death Rate in Branching Diffusions, A central limit theorem of branching process with mixing interactions, Limit probabilities for critical age-dependent branching processes with immigration, The Early Stage Behaviour of a Stochastic SIR Epidemic with Term-Time Forcing, Self-Similar Branching Markov Chains, A class of measure-valued branching diffusions in a random medium, Universal Limit Laws for Depths in Random Trees, Self-decomposable discrete distributions and branching processes, Unnamed Item, Asymptotic Normality in the Generalized Polya–Eggenberger Urn Model, with an Application to Computer Data Structures, Maxima of branching random walks, Critical Bellman–Harris branching processes with infinite variance allowing state-dependent immigration, RANDOMIZED URN MODELS AND SEQUENTIAL DESIGN, The Class of Mean Residual Lives and Some Consequences, A note on product-convolution for generalized subexponential distributions, A Fixed Point Approach to the Classification of Markov Chains with a Tree Structure, SMALL-WORLD EFFECT IN GEOGRAPHICAL ATTACHMENT NETWORKS, ON THE ASYMPTOTIC STRUCTURE OF NONCRITICAL MARKOV STOCHASTIC BRANCHING PROCESSES WITH CONTINUOUS TIME, ON ASYMPTOTIC RELATIONS FOR THE CRITICAL GALTON – WATSON PROCESS, On the non-closure under convolution for strong subexponential distributions, Using multitype branching models to analyze bacterial pathogenicity, Approximation of SDEs by Population-Size-Dependent Galton–Watson Processes, Limit theorems for critical branching processes in a finite-state-space Markovian environment, Multitype branching processes in random environment, The phase transition in inhomogeneous random graphs, Asymptotic behavior of tail and local probabilities for sums of subexponential random variables, Large deviations for super-Brownian motion with immigration, Measure change in multitype branching, Family trees of continuous-time birth-and-death processes, Transient behaviour of a Galton–Watson process with a large number of types, Doob: A Half-Century on, On Estimation of the Convergence Rate to Invariant Measures in Markov Branching Processes with Possibly Infinite Variance and Allowing Immigration, A mosaic of triangular cells formed with sequential splitting rules, On finite exponential moments for branching processes and busy periods for queues, Characterizations of asymptotic distributions of continuous-time Pólya processes, Periodic P\'olya urns and an application to Young tableaux, Random transceiver networks, Occupancy schemes associated to Yule processes, Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration, A Two-Step Branching Splitting Model Under Cost Constraint for Rare Event Analysis, Survival analysis of particle populations in branching random walks, General linear-fractional branching processes with discrete time, Large and moderate deviations for a -valued branching random walk with a random environment in time, On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails, The giant component of the directed configuration model revisited, Unnamed Item, Convergence rates for the degree distribution in a dynamic network model, Large deviation rates for Markov branching processes, Large deviations of the exit measure through a characteristic boundary for a Poisson driven SDE, THE ASYMPTOTIC DEGREE DISTRIBUTIONS OF RANDOM FAST GROWTH MODELS FOR TREELIKE NETWORKS, A Polynomial Time Algorithm for Computing Extinction Probabilities of Multitype Branching Processes, Regularly log-periodic functions and some applications, Large Deviations for Infectious Diseases Models, Asymptotic normality in random graphs with given vertex degrees, Continuous-State Branching Processes with Immigration, Very fat geometric Galton-Watson trees, Ergodic frequency measures for random substitutions, Perron–Frobenius theory for kernels and Crump–Mode–Jagers processes with macro-individuals, The empirical mean position of a branching Lévy process, Extinction time of the logistic process, Site Percolation on the d-Dimensional Hamming Torus, Coexistence and Noncoexistence of Markovian Viruses and their Hosts, Coalescence Times for the Bienaymé-Galton-Watson Process, Asymptotic Behaviour of Extinction Probability of Interacting Branching Collision Processes, Strong Local Survival of Branching Random Walks is Not Monotone, Asymptotic Properties of Multicolor Randomly Reinforced Pólya Urns, The Hausdorff dimension of a class of random self-similar fractal trees, Forests on wired regular trees, Asymptotic Expansions for Distributions of Compound Sums of Random Variables with Rapidly Varying Subexponential Distribution, Central limit theorems for generalized Pólya urn models, Genealogy for supercritical branching processes, Multitype linear fractional branching processes, Graphs with specified degree distributions, simple epidemics, and local vaccination strategies, An epidemic model with infector-dependent severity, Transformations of Galton-Watson processes and linear fractional reproduction, Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration, On the age of a randomly picked individual in a linear birth-and-death process, Self-normalized large deviation for supercritical branching processes, A Remark on the Uniqueness of Weighted Markov Branching Processes, Large deviations for local mass of branching Brownian motion, The quasi-Assouad dimension of stochastically self-similar sets, Gaussian process approximations for multicolor Pólya urn models, Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues, On mutations in the branching model for multitype populations, Genealogical constructions and asymptotics for continuous-time Markov and continuous-state branching processes, Multitype branching processes with inhomogeneous Poisson immigration, Rank-dependent Galton‒Watson processes and their pathwise duals, Regularly varying nonstationary second-order Galton–Watson processes with immigration, Branching processes in varying environment with generation-dependent immigration, Poisson random measures and critical Sevastyanov branching processes, Diffusion approximation of near critical branching processes in fixed and random environment, A probabilistic particle approximation of the “Paveri-Fontana” kinetic model of traffic flow, A spatio-temporal point process model for particle growth, Is the Sibuya distribution a progeny?, On a limit structure of the Galton–Watson branching processes with regularly varying generating functions, Stochastic fixed-point equations, Forefather distribution in a variant of Galton–Watson branching process, Multi-type age-dependent branching processes as models of metastasis evolution, Ancestral inference for branching processes in random environments and an application to polymerase chain reaction, On asymptotic structure of continuous-time Markov branching processes allowing immigration without higher-order moments, Estimating the age of a galton-watson process with binomial offspring distribution, A Limit Theorem for Supercritical Random Branching Walks with Branching Sources of Varying Intensity, On the Asymptotic Distribution of Nucleation Times of Polymerization Processes, Superprocesses as Models for Information Dissemination in the Future Internet, Asymptotics of First-Passage Percolation on One-Dimensional Graphs, Generalized Markov branching processes with state-dependent offspring distributions, Functions of discrete probability measures: Rates of convergence in the renewal theorem, Approximation of the height process of a continuous state branching process with interaction, Mean and variance of balanced Pólya urns, Multitype branching process with non-homogeneous Poisson and contagious Poisson immigration, Skeletons of Near-Critical Bienaymé-Galton-Watson Branching Processes, Exponential Growth of Bifurcating Processes with Ancestral Dependence, On the Largest Common Subtree of Random Leaf-Labeled Binary Trees, The diameter of sparse random graphs, Atypical Population Size in a Two-Type Decomposable Branching Process, On the peel number and the leaf-height of Galton–Watson trees, The distance profile of rooted and unrooted simply generated trees, The partial duplication random graph with edge deletion, The Effect of Recombination on the Speed of Evolution, Limit theorems for the Galton-Watson process with time-dependent immigration, Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes, Unnamed Item, Unnamed Item, Unnamed Item, Asymptotic behaviour of critical decomposable 2-type Galton-Watson processes with immigration, Leaf multiplicity in a Bienaym\'e-Galton-Watson tree, The local limit theorem for supercritical branching processes with immigration, Root estimation in Galton–Watson trees, Critical branching processes in a sparse random environment, Large deviation probabilities for the range of a \(d\)-dimensional supercritical branching random walk, Convergence of genealogies through spinal decomposition with an application to population genetics, Phase transition in random intersection graphs with communities, Multirange percolation on oriented trees: Critical curve and limit behavior, Statistical modelling of COVID-19 pandemic development applying branching processes, On regime changes of COVID-19 outbreak, A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence, Asymptotic behavior for supercritical branching processes, Critical branching as a pure death process coming down from infinity, Lower deviation probabilities for level sets of the branching random walk, Branching random walk in a random time-independent environment, A particular family of absolutely monotone functions and relations to branching processes, Recurrence property for Galton-Watson processes in which individuals have variable lifetimes, Wright function in the solution to the Kolmogorov equation of the Markov branching process with geometric reproduction of particles, Combinatorial statistics and the sciences, Interacting stochastic processes on sparse random graphs, Bootstrap percolation in inhomogeneous random graphs, Maximal displacement of spectrally negative branching Lévy processes, Unnamed Item, Extinction behavior and recurrence of \(n\)-type Markov branching-immigration processes, The extremal process of super-Brownian motion: a probabilistic approach via skeletons, Local limits of one-sided trees, Depth-first search performance in a random digraph with geometric outdegree distribution, Quasi-equilibria and click times for a variant of Muller's ratchet, On the role of reduced habitat in the phase transition of a stochastic model for seed dispersal, Exponential densities and compound Poisson measures, Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment, Random networks with heterogeneous reciprocity, Inequalities for moments of branching processes in a varying environment, Limit theorems for critical Galton-Watson processes with immigration stopped at zero, Trees with exponential height dependent weight, Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves, Invariant Galton–Watson trees: metric properties and attraction with respect to generalized dynamical pruning, A Galton-Watson process with a threshold at 1 and an immigration at 0, Spread of parasites affecting death and division rates in a cell population, On Random Walks with Geometric Lifetimes, The Erlang weighted tree, a new branching process, The number of descendants in a random directed acyclic graph, Limit theorems for the positive recurrent Q-process, Refined limit theorems for the critical continuous-time Markov branching systems, Berry-Esseen bound and Cramér moderate deviation expansion for a supercritical branching random walk, An approximation of populations on a habitat with large carrying capacity, Unnamed Item, Convergence results on multitype, multivariate branching random walks, Multitype branching processes observing particles of a given type, Tails in generalized Jackson networks with subexponential service-time distributions, The height of increasing trees, On Random Fragmentations Arising From Binary Splitting, A Stochastic Model to Analyze Clonal Data on Multi‐Type Cell Populations, Estimation in continuous state-space branching processes, Iterated birth and death process as a model of radiation cell survial, Stochastic formulations of a clock model for temporally regulated generation of oligodendrocytes in vitro, Heavy-Tailed Branching Process with Immigration, Applications of Feller-Reuter-Riley transition functions, Extreme order statistics on Galton-Watson trees., Branching Processes with Incubation, The Limit Behavior of Dual Markov Branching Processes, Large-time asymptotics for the density of a branching Wiener process, Alternating branching processes, Unnamed Item, On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction, On the Waiting Time to Escape, On Long-time Behaviors of States of Galton-Watson Branching Processes Allowing Immigration, On the Limit Structure of Continuous-time Markov Branching Process, On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process, Criticality in tissue homeostasis: models and experiments, On the Distribution of Monochromatic Complete Subgraphs and Arithmetic Progressions, Models induced from critical birth–death process with random initial conditions, Construction of age-structured branching processes by stochastic equations, On supercritical branching processes with emigration, On the inequalities for moments of branching random processes, On asymptotic structure of critical Galton-Watson branching processes allowing immigration with infinite variance, Poisson random measures and supercritical multitype Markov branching processes, Modeling escape from extinction with decomposable multi-type Sevastyanov branching processes, The stationary and quasi-stationary properties of neutral multi-type branching process diffusions, Stochastic models of stem cells and their descendants under different criticality assumptions
