Long time behavior of the transition probability of a random walk with drift on an abelian covering graph

Tomoyuki Shirai

doi:10.2748/tmj/1113246940

Long time behavior of the transition probability of a random walk with drift on an abelian covering graph

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Abstract

For a certain class of reversible random walks possibly with drift on an abelian covering graph of a finite graph, using the technique of twisted transition operator, we obtain the asymptotic behavior of the n-step transition probability p_n(x, y) as n → − give an expression of the constant which appears in the asymptotics.

Original language	English
Pages (from-to)	255-269
Number of pages	15
Journal	Tohoku Mathematical Journal
Volume	55
Issue number	2
DOIs	https://doi.org/10.2748/tmj/1113246940
Publication status	Published - Jan 1 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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Long time behavior of the transition probability of a random walk with drift on an abelian covering graph

Abstract

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