261 citations · 703 across the 43 of their papers we have counts for
5 papers · 1 filter
Deterministic walks in random environment
Romain Aimino, Carlangelo Liverani
Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walk…
Edgeworth expansions for weakly dependent random variables
Kasun Fernando, Carlangelo Liverani
We discuss sufficient conditions that guarantee the existence of asymptotic expansions for the Central Limit Theorem for weakly dependent random variables including observations ar…
Toward the Fourier law for a weakly interacting anharmonic crystal
Carlangelo Liverani, Stefano Olla
For a system of weakly interacting anharmonic oscillators, perturbed by an energy preserving stochastic dynamics, we prove an autonomous (stochastic) evolution for the energies at…
Random Walk in deterministically changing environment
Dmitry Dolgopyat, Carlangelo Liverani
We consider a random walk with transition probabilities weakly dependent on an environment with a deterministic, but strongly chaotic, evolution. We prove that for almost all initi…
Random walk in Markovian environment
Dmitry Dolgopyat, Gerhard Keller, Carlangelo Liverani
We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on . We assume that the transition probabilities…