Supercritical multitype branching processes: the ancestral types of typical individuals
From MaRDI portal
Publication:4454114
DOI10.1239/aap/1067436336zbMath1044.60080arXivmath/0302049OpenAlexW2110447966MaRDI QIDQ4454114
Hans-Otto Georgii, Ellen Baake
Publication date: 7 March 2004
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0302049
large deviationempirical distributionmultitype branching processsize-biased treeancestral distributiontype history
Related Items (29)
Steady-state thermodynamics for population dynamics in fluctuating environments with side information ⋮ A law of large numbers for branching Markov processes by the ergodicity of ancestral lineages ⋮ Lyapunov exponents for branching processes in a random environment: the effect of information ⋮ Lines of descent under selection ⋮ Mutation, selection, and ancestry in branching models: a variational approach ⋮ Unnamed Item ⋮ Parasite infection in a cell population with deaths and reinfections ⋮ Variational characterization of multitype Galton-Watson branching processes ⋮ Branching random walk in a random time-independent environment ⋮ Spread of parasites affecting death and division rates in a cell population ⋮ Spine for interacting populations and sampling ⋮ The genealogical decomposition of a matrix population model with applications to the aggregation of stages ⋮ Unnamed Item ⋮ Probabilistic and Piecewise Deterministic models in Biology ⋮ Ancestral reproductive bias in branching processes ⋮ Ancestral lineages and limit theorems for branching Markov chains in varying environment ⋮ Limit theorems for Markov processes indexed by continuous time Galton-Watson trees ⋮ Invasion and fixation of microbial dormancy traits under competitive pressure ⋮ A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent ⋮ Phenotypic diversity and population growth in a fluctuating environment ⋮ Multitype Branching Brownian Motion and Traveling Waves ⋮ An asymptotic maximum principle for essentially linear evolution models ⋮ Markov limit of line of decent types in a multitype supercritical branching process ⋮ Common ancestor type distribution: a Moran model and its deterministic limit ⋮ New approaches to source-sink metapopulations decoupling demography and dispersal ⋮ The coalescent point process of multi-type branching trees ⋮ The interplay of dormancy and transfer in bacterial populations: invasion, fixation and coexistence regimes ⋮ A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales ⋮ Uniform sampling in a structured branching population
Cites Work
- Large deviations and applications
- General branching processes as Markov fields
- The coalescent
- Growing conditioned trees
- Persistence of critical multitype particle and measure branching processes
- Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
- Mutation-selection balance: ancestry, load, and maximum principle
- Asymptotic evaluation of certain markov process expectations for large time. IV
- Stabilities and instabilities in population dynamics
- Asymptotic evaluation of certain markov process expectations for large time, I
- Some Results on Multitype Continuous Time Markov Branching Processes
- A Limit Theorem for Multidimensional Galton-Watson Processes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Supercritical multitype branching processes: the ancestral types of typical individuals