Variance of the range of a random walk

DOI10.1007/BF01010904zbMath0629.60082OpenAlexW1964950152MaRDI QIDQ1094000

David C. Torney

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01010904

zbMATH Keywords

generating functionsasymptotic expansionsnumber of distinct sites occupied by a random walk

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Limit theorems in probability theory (60F99)

Related Items (2)

A field-theoretic approach to the Wiener sausage ⋮ Thymic selection of T cells as diffusion with intermittent traps

Cites Work

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• The range of transient random walk
• Discrete potential theory
• Random Walks on Lattices. II
• Asymptotic form for random walk survival probabilities on three-dimensional lattices with traps
• The range of recurrent random walk in the plane
• Exact Results for a Body-Centered Cubic Lattice Green's Function with Applications in Lattice Statistics. I
• The Asymptotic Distribution of the Range of Sums of Independent Random Variables

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