The range of tree-indexed random walk in low dimensions

DOI10.1214/14-AOP947zbMath1335.60070arXiv1401.7830MaRDI QIDQ888540

Jean-François Le Gall, Shen Lin

Publication date: 30 October 2015

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

Full work available at URL: https://arxiv.org/abs/1401.7830

zbMATH Keywords

convergence in distributionlocal timesrangebranching random walkhitting probabilityintegrated super-Brownian excursiontree-indexed random walk

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55) Superprocesses (60J68)

Related Items (11)

Capacity of the range of branching random walks in low dimensions ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Capacity of the range of tree-indexed random walk ⋮ An upper bound for the probability of visiting a distant point by a critical branching random walk in \(\mathbb{Z} ^{4}\) ⋮ Convergence in law for the capacity of the range of a critical branching random walk ⋮ Logarithmic corrections to scaling in the four-dimensional uniform spanning tree ⋮ On the tail of the branching random walk local time ⋮ On the critical branching random walk. III: the critical dimension ⋮ Connectivity properties of Branching Interlacements ⋮ On the distribution of range for tree-indexed random walks ⋮ Scaling limits of tree-valued branching random walks

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