A quenched limit theorem for the local time of random walks on \(\mathbb Z^2\)

DOI10.1016/J.SPA.2008.06.006zbMath1163.60018arXiv0711.4488OpenAlexW2001735536MaRDI QIDQ1016611

Rongfeng Sun, Jürgen Gärtner

Publication date: 6 May 2009

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4488

zbMATH Keywords

random walkslocal timequenched exponential law

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Local time and additive functionals (60J55)

Related Items (5)

The critical 2d stochastic heat flow ⋮ Moments of the 2D directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem ⋮ Monte Carlo methods for improper target distributions ⋮ Optimal bounds for the variance of self-intersection local times ⋮ Annealed vs quenched critical points for a random walk pinning model

Cites Work

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• Annealed asymptotics for the parabolic Anderson model with a moving catalyst
• Moments and distribution of the local time of a two-dimensional random walk
• Annealed vs quenched critical points for a random walk pinning model
• A condition for weak disorder for directed polymers in random environment
• Some problems concerning the structure of random walk paths
• Random Walk: A Modern Introduction
• Probability Inequalities for Sums of Bounded Random Variables

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