Elena Dyakonova - Survival probability of a critical multi-type branching process in random environment

dmtcs:3477 - Discrete Mathematics & Theoretical Computer Science, January 1, 2006, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities - https://doi.org/10.46298/dmtcs.3477
Survival probability of a critical multi-type branching process in random environment

Authors: Elena Dyakonova 1

  • 1 Steklov Mathematical Institute [Moscow]

We study a multi-type branching process in i.i.d. random environment. Assuming that the associated random walk satisfies the Doney-Spitzer condition, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.

https://doi.org/10.46298/dmtcs.3477
Source: HAL:hal-01184679v1
Volume: DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities
Section: Proceedings
Published on: January 1, 2006
Imported on: May 10, 2017
Keywords: Doney-Spitzer condition,survival probability,branching processes in random environment,[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-HC] Computer Science [cs]/Human-Computer Interaction [cs.HC]

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Source : ScholeXplorer IsRelatedTo ARXIV math/0503657
Source : ScholeXplorer IsRelatedTo DOI 10.1214/009117904000000928
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0503657
  • 10.1214/009117904000000928
  • math/0503657
  • 10.48550/arxiv.math/0503657
Criticality for branching processes in random environment

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