The spread of a catalytic branching random walk

DOI10.1214/12-AIHP529zbMath1291.60208arXiv1202.0637OpenAlexW1996511847MaRDI QIDQ2451101

Philippe Carmona, Yue Yun Hu

Publication date: 26 May 2014

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0637

zbMATH Keywords

branching processcatalytic branching random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37)

Related Items (19)

Strong and weak convergence of the population size in a supercritical catalytic branching process ⋮ Catalytic branching random walk with semi-exponential increments ⋮ Fluctuations of the rightmost particle in the catalytic branching Brownian motion ⋮ First hitting time of a high level by a catalytic branching walk ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Complete Classification of Catalytic Branching Processes ⋮ Spread rate of branching Brownian motions ⋮ The spread speed of multiple catalytic branching random walks ⋮ On the maximal displacement of catalytic branching random walk ⋮ Maximum of catalytic branching random walk with regularly varying tails ⋮ Branching Brownian motion with catalytic branching at the origin ⋮ Limiting distribution of particles near the frontier in the catalytic branching Brownian motion ⋮ The extremal process of super-Brownian motion ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk ⋮ Maximum of a catalytic branching random walk ⋮ Branching Brownian motion with spatially homogeneous and point-catalytic branching ⋮ Limiting distributions for the maximal displacement of branching Brownian motions ⋮ Maximal displacement and population growth for branching Brownian motions ⋮ Maximal displacement of branching symmetric stable processes

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