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 $n \to \infty$ and give an expression of the constant which appears in the asymptotics.
Citation
Tomoyuki Shirai. "Long time behavior of the transition probability of a random walk with drift on an abelian covering graph." Tohoku Math. J. (2) 55 (2) 255 - 269, 2003. https://doi.org/10.2748/tmj/1113246940
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