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An overview of the balanced excited random walk
[article]

2020
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arXiv
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pre-print

The balanced excited random walk, introduced by Benjamini, Kozma and Schapira in 2011, is defined as a discrete time stochastic process in Z^d, depending on two integer parameters 1< d_1,d_2< d, which whenever it is at a site x∈Z^d at time n, it jumps to x± e_i with uniform probability, where e_1,...,e_d are the canonical vectors, for 1< i< d_1, if the site x was visited for the first time at time n, while it jumps to x± e_i with uniform probability, for 1+d-d_2< i< d, if the site x was already

arXiv:2002.05750v2
fatcat:wpqnqydw65benkztvcsepqqvy4