46 citations · 277 across the 43 of their papers we have counts for
4 papers · 1 filter
Local Limit Theorems for Random Walks in a Random Environment on a Strip
Dmitry Dolgopyat, Ilya Goldsheid
The paper consists of two parts. In the first part we review recent work on limit theorems for random walks in random environment (RWRE) on a strip with jumps to the nearest layers…
Asymptotic expansion of correlation functions for covers of hyperbolic flows
Dmitry Dolgopyat, Péter Nándori, Françoise Pène
We establish expansion of every order for the correlation function of sufficiently regular observables of extensions of some hyperbolic flows. Our examples include th…
Global observables for random walks: law of large numbers
Dmitry Dolgopyat, Marco Lenci, Péter Nándori
We consider the sums where is a random walk on and is a global observable, that is, a bounded function wh…
Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment
Dmitry Dolgopyat, Bassam Fayad, Maria Saprykina
We show that one-dimensional random walks in a quasi-periodic environment with Liouville frequency generically have an erratic statistical behavior. In the recurrent case we show t…