Evolution of branching processes in a random environment
From MaRDI portal
Publication:2446226
DOI10.1134/S0081543813060187zbMath1290.60086arXiv1110.6139OpenAlexW2019715588MaRDI QIDQ2446226
Serik Sagitov, Vladimir A. Vatutin, Elena E. Dyakonova
Publication date: 16 April 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.6139
Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Critical branching processes in a random environment with immigration: the size of the only surviving family, Stochastic modelling of age-structured population with time and size dependence of immigration rate, Subcritical Branching Processes in Random Environment, Multitype branching processes in random environment, Recurrence and Transience of Critical Branching Processes in Random Environment with Immigration and an Application to Excited Random Walks, Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case, Asymptotic results for exponential functionals of Lévy processes, How Many Families Survive for a Long Time?, Critical branching processes in random environment with immigration: survival of a single family, Slower variation of the generation sizes induced by heavy-tailed environment for geometric branching, Path to survival for the critical branching processes in a random environment, Critical branching processes in random environment and Cauchy domain of attraction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems for weakly subcritical branching processes in random environment
- On the survival probability of a branching process in a finite state i.i.d. environment
- Some results about multidimensional branching processes with random environments
- Limit theorems for branching processes in a random environment
- Conditioned limit theorems for some null recurrent Markov processes
- Limit theorems for subcritical branching processes in random environment.
- Criticality for branching processes in random environment
- Spitzer's condition and ladder variables in random walks
- On the survival probability of a branching process in a random environment
- Branching processes. II
- Reduced critical branching processes in random environment
- Conditional limit theorems for intermediately subcritical branching processes in random environment
- Functional limit theorems for strongly subcritical branching processes in random environment
- Propriétés asymptotiques des processus de branchement en environnement aléatoire
- Branching processes in random environment die slowly
- Asymptotic properties of multitype critical branching processes evolving in a random environment
- Convergence in distribution of products of random matrices
- Branching Processes in a Random Environment and Bottlenecks in the Evolution of Populations
- Limit Theorems for Reduced Branching Processes in a Random Environment
- Branching processes in random environment which extinct at a given moment
- Conditional limit theorems for asymptotically stable random walks
- The Structure of Reduced Critical GALTON-WATSON Processes
- Limiting Distributions of the Distance to the Closest Common Ancestor
- Reduced subcritical Galton-Watson processes in a random environment
- The Survival Probability of a Critical Branching Process in a Random Environment
- On the Survival Probability of a Branching Process in a Random Environment
- Reduced Branching Processes in Random Environment: The Critical Case
- Critical branching processes in random environment: the probability of extinction at a given moment
- A functional limit theorem for the logarithm of a moderately subcritical branching process in a random environment
- Asymptotic behaviour of the probability of non-extinction for a multi-type branching process in a random environment
- Galton--Watson Branching Processes in a Random Environment I: Limit Theorems
- Limit Theorem for an Intermediate Subcritical Branching Process in a Random Environment
- On the Recurrence and Transience of State-Dependent Branching Processes in Random Environment
- On Branching Processes in Random Environments
- Multitype branching processes in random environments
- On Branching Processes with Random Environments: I: Extinction Probabilities
- Branching Processes with Random Environments, II: Limit Theorems
- Galton--Watson Branching Processes in a Random Environment. II: Finite-dimensional Distributions
- On multitype branching processes in a random environment
- On multitype branching processes in a random environment
