On the critical exponent for random walk intersections

DOI10.1007/BF01044226zbMath0714.60057MaRDI QIDQ751050

Krzysztof Burdzy, Gregory F. Lawler, Thomas W. Polaski

Publication date: 1989

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

zbMATH Keywords

random walkscritical exponentsMonte Carlo simulationsintersections

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Sums of independent random variables; random walks (60G50)

Related Items (7)

Multiple intersection exponents for planar Brownian motion ⋮ A Discrete Analogue of a Theorem of Makarov ⋮ The disconnection exponent for simple random walk ⋮ An extension of a result of Burdzy and Lawler ⋮ Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle ⋮ Minkowski content of Brownian cut points ⋮ Universal features of complex n-block copolymers

Cites Work

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• Hitting probabilities of random walks on \({\mathbb{Z}}^ d\)
• Intersections of random walks in four dimensions. II
• Intersections of random walks. A direct renormalization approach
• The probability of intersection of independent random walks in four dimensions
• Intersections of random walks with random sets
• Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle
• Some intersection properties of random walk paths
• Estimates for Differences and Harnack Inequality for Difference Operators Coming From Random Walks with Symmetric, Spatially Inhomogeneous, Increments

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