Occupation statistics of critical branching random walks in two or higher dimensions

DOI10.1214/10-AOP551zbMath1214.60042arXiv0707.3829WikidataQ105584323 ScholiaQ105584323MaRDI QIDQ624664

Steven P. Lalley, Xinghua Zheng

Publication date: 9 February 2011

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3829

zbMATH Keywords

limit theoremscritical branching random walksoccupation statistics

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (16)

Large deviation principle for the maximal positions in critical branching random walks with small drifts ⋮ Capacity of the range of tree-indexed random walk ⋮ The randomly fluctuating hyperrectangles are spatially monotone ⋮ Exponential and Laplace approximation for occupation statistics of branching random walk ⋮ The range of tree-indexed random walk in low dimensions ⋮ Invariant measures of critical branching random walks in high dimension ⋮ Critical cluster cascades ⋮ New rates for exponential approximation and the theorems of Rényi and Yaglom ⋮ Subcritical branching processes in a random environment without the Cramer condition ⋮ Total variation error bounds for geometric approximation ⋮ Monotonicity of escape probabilities for branching random walks on \(\mathbb{Z}^d\) ⋮ On the maximal displacement of subcritical branching random walks ⋮ Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3 ⋮ Critical branching random walks with small drift ⋮ On the tail of the branching random walk local time ⋮ THE RANGE OF TREE-INDEXED RANDOM WALK

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• A Space-Time Property of a Class of Measure-Valued Branching Diffusions
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