A note on the central limit theorem for two-fold stochastic random walks in a random environment

We show that the – suitably centered – empirical distributions of the RWRE converge weakly to a certain limit law which describes the stationary distribution of a random walk in

On the equality of the quenched and averaged large deviation rate functions for high-dimensional ballistic random walk in a random environment. Random walks in

Keywords: Random walk; Ballistic; Random environment; Central limit theorem; Invariance principle; Point of view of the particle; Environment process; Green function.. Here is a

In the vertically flat case, this is simple random walk on Z , but for the general model it can be an arbitrary nearest-neighbour random walk on Z.. In dimension ≥ 4 (d ≥ 3), the

Deducing from the above general result a meaningful property for the random walk, in the sense of showing that U (ω, ξ n ω ) can be replaced by a random quantity depending only on

Exact convergence rates in central limit theorems for a branching ran- dom walk with a random environment in time... Exact convergence rates in central limit theorems for a

A fragmentation occurs in the random permutation when a transposition occurs between two integers in the same σ-cycle, so tree components in the random graph correspond to cycles in

Then, following [11] (Prop 9-131), and standard electrical/capacited network theory, if the conductances have finite sum, then the random walk is positive recurrent, the