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

Shirai, Tomoyuki

Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 255-269 / Harvested from Project Euclid

Résumé

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.

Publié le : 2003-06-14
Classification: 60G50, 60J10

@article{1113246940,
     author = {Shirai, Tomoyuki},
     title = {Long time behavior of the transition probability of a random walk with drift on an abelian covering graph},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 255-269},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246940}
}

Shirai, Tomoyuki. Long time behavior of the transition probability of a random walk with drift on an abelian covering graph. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  255-269. http://gdmltest.u-ga.fr/item/1113246940/