Holmes, Mark; Sun, Rongfeng - In: Stochastic Processes and their Applications 122 (2012) 4, pp. 1369-1396
We prove a law of large numbers for random walks in certain kinds of i.i.d. random environments in Zd that is an extension of a result of Bolthausen et al. (2003) [4]. We use this result, along with the lace expansion for self-interacting random walks, to prove a monotonicity result for the...