期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2014
卷号：XI
页码：483-502
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：This work is motivated by the study of some two-dimensional randomwalks in random environment (RWRE) with transition probabilities independentof one coordinate of the walk. These are non-reversible models and can not betreated by electrical network techniques. The proof of the recurrence of such RWREneeds new estimates for quenched return probabilities of a one-dimensional recurrentRWRE. We obtained these estimates by constructing suitable valleys for thepotential. They imply that k independent walkers in the same one-dimensional(recurrent) environment will meet in the origin in nitely often, for any k. We alsoconsider direct products of one-dimensional recurrent RWRE with another RWREor with a RW.We point out that models involving one-dimensional recurrent RWREare more recurrent than the corresponding models involving simple symmetric walk.
关键词：random walk in random environment; return probabilities; recurrence.
