A central limit theorem for random walk in a random environment on marked Galton-Watson trees

Maximum likelihood estima- tor consistency for recurrent random walk in a parametric random environment with finite

The one-dimensional recurrent random walk on random environment (thereafter abbreviated RWRE) we treat here, also called Sinai’s walk, has the property to be localized at an instant

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

Our paper focuses on the almost sure asymp- totic behaviours of a recurrent random walk (X n ) in random environment on a regular tree, which is closely related to Mandelbrot

For a diffusion in random potential, the recent [8] proves the Einstein relation by following the strategy of [11], adding to it a good control (uniform in the environment) of

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