Branching processes in random environment with freezing
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Ivan D. Korshunov
Abstract
It is well known that a branching process in random environment (BPRE) can be analyzed via the associated random walk
where
We find several sufficient conditions for extinction probability of such process to be one or less than one correspondingly.
Originally published in Diskretnaya Matematika (2023) 35, №3, 20–36 (in Russian).
Funding statement: The research was supported by the Russian Science Foundation under grant no. 19-11-00111-P, https://rscf.ru/project/19-11-00111/, and performed at Steklov Mathematical Institute of Russian Academy of Sciences.
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Articles in the same Issue
- Frontmatter
- Generation of n-quasigroups by proper families of functions
- Boolean functions constructed using digital sequences of linear recurrences
- On the sets of the propagation criterion for strict majority Boolean functions
- Branching processes in random environment with freezing
- Limit joint distribution of the statistics of «Monobit test», «Frequency Test within a Block» and «Binary Matrix Rank Test»
- On random mappings with restrictions on sizes of components
Articles in the same Issue
- Frontmatter
- Generation of n-quasigroups by proper families of functions
- Boolean functions constructed using digital sequences of linear recurrences
- On the sets of the propagation criterion for strict majority Boolean functions
- Branching processes in random environment with freezing
- Limit joint distribution of the statistics of «Monobit test», «Frequency Test within a Block» and «Binary Matrix Rank Test»
- On random mappings with restrictions on sizes of components
