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2014•Random Structures and AlgorithmsRequires access

Diffusivity of a random walk on random walks

Emmanuel Boissard, Serge Cohen, Thibault Espinasse, James R. Norris

Open publisher page 6 citations

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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What this paper is about

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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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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

Key concepts: Random walk, Heterogeneous random walk in one dimension, Constraint (computer-aided design), Simple random sample, Loop-erased random walk, Statistical physics, struct, Mathematics

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