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Diffusivity of a random walk on random walks
Authors:Emmanuel Boissard  Serge Cohen  Thibault Espinasse  James Norris
Affiliation:1. Institut Mathématique de Toulouse, CNRS UMR 5219, Université de Toulouse, Université Paul Sabatier, Toulouse F, France;2. Statistical Laboratory, Cambridge University, Centre for Mathematical Sciences, Cambridge, UK
Abstract:We consider a random walk urn:x-wiley::media:rsa20541:rsa20541-math-0001 with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor urn:x-wiley::media:rsa20541:rsa20541-math-0002 with respect to the case of the classical simple random walk without constraint. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 267–283, 2015
Keywords:random walk  graph  central limit theorem
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