On laws of large numbers in \(L^2\) for supercritical branching Markov processes beyond \(\lambda \)-positivity
From MaRDI portal
Publication:2179238
DOI10.1214/19-AIHP961zbMath1456.60073arXiv1711.05674OpenAlexW3004868962MaRDI QIDQ2179238
Matthieu Jonckheere, Santiago Saglietti
Publication date: 12 May 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05674
law of large numbers\(h\)-transformspine decompositionbranching Markov processes\( \lambda \)-positivity
Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fleming-Viot selects the minimal quasi-stationary distribution: the Galton-Watson case
- Speed and fluctuations of \(N\)-particle branching Brownian motion with spatial selection
- Interacting particle systems and Yaglom limit approximation of diffusions with unbounded drift
- The many-to-few lemma and multiple spines
- Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
- A strong law of large numbers for branching processes: almost sure spine events
- Law of large numbers for superdiffusions: the non-ergodic case
- Quasi-stationary distributions for Lévy processes
- Strong law of large numbers for branching diffusions
- Branching diffusions, superdiffusions and random media
- Measure changes with extinction
- Branching Brownian motion with absorption
- \(R\)-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata
- A scaling limit theorem for a class of superdiffusions
- Local extinction versus local exponential growth for spatial branching processes.
- Strong law of large numbers for a class of superdiffusions
- Brunet-Derrida behavior of branching-selection particle systems on the line
- Strong law of large numbers for supercritical superprocesses under second moment condition
- The \(\lambda\)-invariant measures of subcritical Bienaymé-Galton-Watson processes
- Law of large numbers for branching symmetric hunt processes with measure-valued branching rates
- An almost sure scaling limit theorem for Dawson-Watanabe superprocesses
- Limit theorems for branching Markov processes
- Quasi stationary distributions and Fleming-Viot processes in countable spaces
- Law of large numbers for a class of superdiffusions
- Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: one sided travelling-waves
- Subcritical contact process seen from the edge: convergence to quasi-equilibrium
- Branching Markov processes. I
- Branching Markov processes. II
- Branching Markov processes. III
- The critical contact process dies out
- A strong law of large numbers for super-critical branching Brownian motion with absorption
- Spatial Branching in Random Environments and with Interaction
- Simulation of quasi-stationary distributions on countable spaces
- Quasistationary Distributions and Fleming-Viot Processes in Finite Spaces
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Strong limit theorems for general supercritical branching processes with applications to branching diffusions
- Domain of attraction of the quasi-stationary distributions for the Ornstein-Uhlenbeck process
- A note on speed of convergence to the quasi-stationary distribution
- Strong Local Survival of Branching Random Walks is Not Monotone
- On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
- Limit theorems for multitype continuous time Markov branching processes
- Extensions of a Limit Theorem of Everett, Ulam and Harris on Multitype Branching Processes to a Branching Process with Countably Many Types
- A Fleming-Viot particle representation of the Dirichlet Laplacian
- Effect of microscopic noise on front propagation
