Central Limit Theorem for the self-repelling random walk with directed edges

2014/03/12 by Thomas Mountford, Mountford, Thomas, Leandro P. R. Pimentel +3 · 1 citation
Mathematics · #Markov Chains and Monte Carlo Methods #Random Matrices and Applications #Stochastic processes and statistical mechanics #math.PR

paper · pdf · doi:10.48550/arxiv.1403.2789

arxiv created 2014/09/28 · arxiv updated 2014/09/30

Abstract

We prove a conjecture of Toth and Veto about the weak convergence of the self repelling random walk with directed edges under diffusive scaling to a uniform distribution.

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