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Discrete Mathematics & Theoretical Computer Science |
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.3331Individuals at the origin in the critical catalytic branching random walkConference paper
- 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.
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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