Intersections of random walks in four dimensions. II

DOI10.1007/BF01221219zbMath0585.60069OpenAlexW2081188133MaRDI QIDQ1070656

Gregory F. Lawler

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01221219

zbMATH Keywords

critical exponentsintersections

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (14)

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) ⋮ Propriétés d'intersection des marches aléatoires. II: Étude des cas critiques. (Properties of intersection of random walks. II: Study of the critical case) ⋮ Harmonic analysis of additive Lévy processes ⋮ Intersections of random walks. A direct renormalization approach ⋮ Gaussian behavior of loop-erased self-avoiding random walk in four dimensions ⋮ Intersection-equivalence of Brownian paths and certain branching processes ⋮ Four-dimensional loop-erased random walk ⋮ Capacity of the range of random walk on \(\mathbb{Z}^{4}\) ⋮ Logarithmic corrections to scaling in the four-dimensional uniform spanning tree ⋮ On the critical exponent for random walk intersections ⋮ Direct estimates on intersection probabilities of random walks ⋮ Intersections of random walks with random sets ⋮ Random Walks and Quantum Gravity in Two Dimensions ⋮ Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model

Cites Work

• The probability of intersection of independent random walks in four dimensions

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