Capacity of the range of tree-indexed random walk
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Publication:2170353
DOI10.1214/21-AAP1689zbMath1501.60051arXiv2004.06018OpenAlexW3015535077MaRDI QIDQ2170353
Publication date: 5 September 2022
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06018
Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (3)
Capacity of the range of branching random walks in low dimensions ⋮ Convergence in law for the capacity of the range of a critical branching random walk ⋮ Invariance principle for the capacity and the cardinality of the range of stable random walks
Cites Work
- Occupation statistics of critical branching random walks in two or higher dimensions
- Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3
- The range of stable random walks
- The range of tree-indexed random walk in low dimensions
- Recent advances in invariance principles for stationary sequences
- Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
- Extensions of results of Komlós, Major, and Tusnády to the multivariate case
- Intersections of random walks
- Capacity of the range in dimension 5
- Capacity of the range of random walk on \(\mathbb{Z}^{4}\)
- On the range of random walk
- The range of transient random walk
- Two observations on the capacity of the range of simple random walks on \(\mathbb{Z} ^3\) and \(\mathbb{Z} ^4\)
- THE RANGE OF TREE-INDEXED RANDOM WALK
- Random Walk: A Modern Introduction
- Moment bounds for stationary mixing sequences
- Capacity of the range of random walk on $\mathbb {Z}^d$
- The total progeny in a branching process and a related random walk
- Probability Inequalities for Sums of Independent Random Variables
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