Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case
From MaRDI portal
Publication:4580428
DOI10.1137/S0040585X97T988782zbMath1405.60131arXiv1612.00681OpenAlexW2885214722MaRDI QIDQ4580428
Elena E. Dyakonova, Vladimir A. Vatutin
Publication date: 15 August 2018
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.00681
Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment ⋮ Asymptotic properties of a supercritical branching process with immigration in a random environment ⋮ Multitype branching processes in random environment ⋮ The survival probability for a class of multitype subcritical branching processes in random environment ⋮ A Kesten-Stigum type theorem for a supercritical multitype branching process in a random environment ⋮ Multi-type subcritical branching processes in a random environment ⋮ On transient phenomena in branching random processes with discrete time ⋮ Properties of multitype subcritical branching processes in random environment
Cites Work
- Unnamed Item
- Unnamed Item
- Limit theorem for multitype critical branching process evolving in random environment
- Reduced multitype critical branching processes in random environment
- Criticality for branching processes in random environment
- Branching processes. II
- A decomposable branching process in a Markovian environment
- Conditioned limit theorems for products of random matrices
- Total population size in critical branching processes in a random environment
- Evolution of branching processes in a random environment
- Sudden Extinction of a Critical Branching Process in a Random Environment
- Asymptotic properties of multitype critical branching processes evolving in a random environment
- Subcritical Branching Processes in Random Environment
- Limit theorems for decomposable branching processes in a random environment
- Branching processes in random environment which extinct at a given moment
- On the Asymptotic Behavior of the Probability of Non-Extinction for Critical Branching Processes in a Random Environment
- The Survival Probability of a Critical Branching Process in a Random Environment
- Asymptotic behaviour of the probability of non-extinction for a multi-type branching process in a random environment
- Path to survival for the critical branching processes in a random environment
- Critical multitype branching processes in a random environment
- Products of Random Matrices
- On Branching Processes in Random Environments
- On Branching Processes with Random Environments: I: Extinction Probabilities