Self-intersections of 1-dimensional random walks

DOI10.1007/BF00344721zbMath0602.60055MaRDI QIDQ1081966

David J. Aldous

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

weak convergenceBrownian motionlimit theoremfirst self-intersection

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Brownian motion (60J65)

Related Items (7)

The drift of a one-dimensional self-avoiding random walk ⋮ The drift of a one-dimensional self-repellent random walk with bounded increments ⋮ A specification test for nonlinear nonstationary models ⋮ Brownian bricklayer: a random space-filling curve ⋮ On self-repellent one-dimensional random walks ⋮ Random polymers ⋮ A central limit theorem for a one-dimensional polymer measure

Cites Work

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• On distributions related to transitive closures of random finite mappings
• Polymers as self-avoiding walks
• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Self-intersections of random walks on discrete groups
• On not storing the path of a random walk
• Weak invariance principles for local time
• Local time is a semi-martingale
• Limit Theorems for a Characteristic of a Random Mapping
• On the Asymptotic Behavior of Local Times of Recurrent Random Walks with Finite Variance
• Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I
• Convergence of stochastic processes

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