We consider a recurrent random walk in a random environment on a regular tree. Under suitable general assumptions concerning the distribution of the environment, we show that the walk exhibits an unusually slow movement: the order of magnitude of the walk in the first n steps is (log n)3.
Publié le : 2007-09-14
Classification:
Random walk in random environment,
slow movement,
tree,
branching random walk,
60K37,
60G50,
60J80
@article{1189000934,
author = {Hu, Yueyun and Shi, Zhan},
title = {Slow movement of random walk in random environment on a regular tree},
journal = {Ann. Probab.},
volume = {35},
number = {1},
year = {2007},
pages = { 1978-1997},
language = {en},
url = {http://dml.mathdoc.fr/item/1189000934}
}
Hu, Yueyun; Shi, Zhan. Slow movement of random walk in random environment on a regular tree. Ann. Probab., Tome 35 (2007) no. 1, pp. 1978-1997. http://gdmltest.u-ga.fr/item/1189000934/