Valentin Topchii ; Vladimir Vatutin - Individuals at the origin in the critical catalytic branching random walk

dmtcs:3331 - Discrete Mathematics & Theoretical Computer Science, January 1, 2003, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) - https://doi.org/10.46298/dmtcs.3331
Individuals at the origin in the critical catalytic branching random walk

Authors: Valentin Topchii 1; Vladimir Vatutin 2

  • 1 Omsk branch of Sobolev Institute of Mathematics
  • 2 Steklov Mathematical Institute [Moscow]

A continuous time branching random walk on the lattice $\mathbb{Z}$ is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove a conditional limit theorem for the number of individuals at the origin.

https://doi.org/10.46298/dmtcs.3331
Source: HAL:hal-01183926v1
Volume: DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Section: Proceedings
Published on: January 1, 2003
Imported on: May 10, 2017
Keywords: catalytic branching random walk,critical two-dimensional Bellman-Harris process,[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-CG] Computer Science [cs]/Computational Geometry [cs.CG]

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Source : ScholeXplorer IsRelatedTo DOI 10.1007/978-3-642-65371-1
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Branching Processes

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