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Total population size in critical branching processes in a random environment

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Publication:2435908
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DOI10.1134/S0001434612010026zbMath1288.60130MaRDI QIDQ2435908

Vladimir A. Vatutin

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

generating functionrandom walkLévy processpopulation sizetail distribution


Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


Related Items (3)

Random walks and branching processes in correlated Gaussian environment ⋮ Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case ⋮ Stochastic processes under constraints. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting)



Cites Work

  • Unnamed Item
  • Local probabilities for random walks conditioned to stay positive
  • Conditioned limit theorems for some null recurrent Markov processes
  • Criticality for branching processes in random environment
  • Conditional limit theorems for asymptotically stable random walks
  • On the extinction times of varying and random environment branching processes
  • Regularly varying functions


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