%0 Journal Article %1 dolgopyat2008random %A Dolgopyat, Dmitry %A Keller, Gerhard %A Liverani, Carlangelo %D 2008 %I Institute of Mathematical Statistics %J The Annals of Probability %K central_limit_theorem probability_theory random_walk_in_random_environment temporal_dynamics %N 5 %P 1676--1710 %R 10.1214/07-aop369 %T Random walk in Markovian environment %U http://dx.doi.org/10.1214/07-AOP369 %V 36 %X We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on Z d . We assume that the transition probabilities of the walk depend not too strongly on the en- vironment and that the evolution of the environment is Markovian with strong spatial and temporal mixing properties.

@article{dolgopyat2008random, abstract = {We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on Z d . We assume that the transition probabilities of the walk depend not too strongly on the en- vironment and that the evolution of the environment is Markovian with strong spatial and temporal mixing properties.}, added-at = {2016-05-20T17:44:14.000+0200}, author = {Dolgopyat, Dmitry and Keller, Gerhard and Liverani, Carlangelo}, biburl = {https://www.bibsonomy.org/bibtex/2903c78367f35b3b0ae348fdd3039d0b7/peter.ralph}, doi = {10.1214/07-aop369}, interhash = {b4e4c2ee3be4c1768fbcfdde72438fcf}, intrahash = {903c78367f35b3b0ae348fdd3039d0b7}, journal = {The Annals of Probability}, keywords = {central_limit_theorem probability_theory random_walk_in_random_environment temporal_dynamics}, month = sep, number = 5, pages = {1676--1710}, publisher = {Institute of Mathematical Statistics}, timestamp = {2016-05-20T17:44:14.000+0200}, title = {Random walk in {Markovian} environment}, url = {http://dx.doi.org/10.1214/07-AOP369}, volume = 36, year = 2008 }