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IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 44(48), p. 445001, 2015

DOI: 10.1088/1751-8113/48/44/445001

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Records for the number of distinct sites visited by a random walk on the fully connected lattice

Journal article published in 2015 by Loïc Turban ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

26 pages, 6 figures, 45 references ; International audience ; We consider a random walk on the fully-connected lattice with $N$ sites and study the time evolution of the number of distinct sites $s$ visited by the walker on a subset with $n$ sites. A record value $v$ is obtained for $s$ at a record time $t$ when the walker visits a site of the subset for the first time. The record time $t$ is a partial covering time when $v$