Diffusivity of a random walk on random walks |
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Authors: | Emmanuel Boissard Serge Cohen Thibault Espinasse James Norris |
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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 |
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Abstract: | We consider a random walk 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 with respect to the case of the classical simple random walk without constraint. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 267–283, 2015 |
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Keywords: | random walk graph central limit theorem |
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