期刊名称:Latin American Journal of Probability and Mathematical Statistics
电子版ISSN:1980-0436
出版年度:2016
卷号:XIII
页码:95-120
出版社:Instituto Nacional De Matemática Pura E Aplicada
摘要:We consider the simple random walk in i.i.d. nonnegative potentials onthe multidimensional cubic lattice. Our goal is to investigate the cost paid by thesimple random walk for traveling from the origin to a remote location in a landscapeof potentials. In particular, we obtain concentration inequalities for the travel costin unbounded nonnegative potentials.