Non-perturbative Approach to Random Walk in Markovian Environment. Dmitry Dolgopyat and Carlangelo Liverani
نویسنده
چکیده
We prove an averaged CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains.
منابع مشابه
Non–Perturbative Approach to Random Walk in Markovian Environment
We prove an averaged CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains.
متن کاملar X iv : m at h / 07 02 10 0 v 1 [ m at h . PR ] 5 F eb 2 00 7 RANDOM WALK IN MARKOVIAN ENVIROMENT
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 environment and that the evolution of the environment is Markovian with strong spatial and temporal mixing properties.
متن کاملRandom Walk in deterministically changing envi- ronment
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 initial conditions of the environment the walk satisfies the CLT.
متن کاملRandom Walk in Markovian Enviroment
We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on Zd. We assume that the transition probabilities of the walk depend not too strongly on the environment and that the evolution of the environment is Markovian with strong spatial and temporal mixing properties.
متن کاملOn the Work and Vision of Dmitry Dolgopyat
We present some of the results and techniques due to Dolgopyat. The presentation avoids technicalities as much as possible while trying to focus on the basic ideas. We also try to present Dolgopyat’s work in the context of a research program aimed at enlightening the relations between dynamical systems and nonequilibrium statistical mechanics.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008