Spread of a catalytic branching random walk on a multidimensional lattice

DOI10.1016/j.spa.2017.09.007zbMath1391.60210arXiv1606.01285OpenAlexW2415386084MaRDI QIDQ1635904

Ekaterina Vladimirovna Bulinskaya

Publication date: 1 June 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01285

zbMATH Keywords

branching random walksupercritical regimemany-to-one lemmapropagation frontspread of population

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (13)

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 rate of branching Brownian motions ⋮ Branching random walks with alternating sign intensities of branching sources ⋮ 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 ⋮ Limiting distribution of particles near the frontier in the catalytic branching Brownian motion ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk ⋮ Branching Brownian motion with spatially homogeneous and point-catalytic branching ⋮ Maximal displacement and population growth for branching Brownian motions ⋮ Maximal displacement of branching symmetric stable processes

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