Second-Order Term of Cover Time for Planar Simple Random Walk

Yoshihiro Abe ()
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Yoshihiro Abe: Chiba University

Journal of Theoretical Probability, 2021, vol. 34, issue 3, 1689-1747

Abstract: Abstract We consider the cover time for a simple random walk on the two-dimensional discrete torus of side length n. Dembo et al. (Ann Math 160:433–464, 2004) identified the leading term in the asymptotics for the cover time as n goes to infinity. In this paper, we study the exact second order term. This is a discrete analogue of the work on the cover time for planar Brownian motion by Belius and Kistler (Probab Theory Relat Fields 167:461–552, 2017).

Keywords: Cover time; Two-dimensional discrete torus; Simple random walk; 60J10 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10959-020-01011-2

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