Elena Dyakonova - On subcritical multi-type branching process in random environment

dmtcs:3579 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science - https://doi.org/10.46298/dmtcs.3579
On subcritical multi-type branching process in random environment

Authors: Elena Dyakonova 1

  • 1 Steklov Mathematical Institute [Moscow]

We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables. Suppose that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices has negative mean and assuming some additional conditions, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.

https://doi.org/10.46298/dmtcs.3579
Source: HAL:hal-01194585v1
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: branching processes in random environment,survival probability,limit theorems,random walks,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]

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Source : ScholeXplorer IsRelatedTo DOI 10.1017/s0001867800036235
Source : ScholeXplorer IsRelatedTo DOI 10.2307/1426781
  • 10.2307/1426781
  • 10.1017/s0001867800036235
ON MULTITYPE BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

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