Linear fractional Galton-Watson processes in random environment and perpetuities
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Publication:2138599
DOI10.1515/eqc-2021-0037zbMath1487.60154arXiv2109.15007OpenAlexW3208528153MaRDI QIDQ2138599
Publication date: 12 May 2022
Published in: Stochastics and Quality Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.15007
iterated function systemextinction probabilityrandom difference equationperpetuitylinear fractional distributionGalton-Watson processes in i.i.d. random environmentYaglom-type limit law
Random operators and equations (aspects of stochastic analysis) (60H25) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Cites Work
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- On distributional properties of perpetuities
- A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks
- Random difference equations and renewal theory for products of random matrices
- The random difference equation \(X_ n = A_ n X_{n-1} + B_ n\) in the critical case
- Limit theorems for subcritical branching processes in random environment.
- Recurrence and transience of contractive autoregressive processes and related Markov chains
- Stability of perpetuities
- Reduced critical branching processes in random environment
- Stochastic Models with Power-Law Tails
- Renewal Theory for Perturbed Random Walks and Similar Processes
- A Special Family of Galton-Watson Processes with Explosions
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- On the Asymptotic Behavior of the Probability of Non-Extinction for Critical Branching Processes in a Random Environment
- Reduced subcritical Galton-Watson processes in a random environment
- The Survival Probability of a Critical Branching Process in a Random Environment
- Critical branching processes in random environment: the probability of extinction at a given moment
- A new theorem for a critical branching process in random environment
- Null recurrence and transience of random difference equations in the contractive case
- Discrete Time Branching Processes in Random Environment
- Transformations of Galton-Watson processes and linear fractional reproduction
- On Branching Processes with Random Environments: I: Extinction Probabilities
