most citedExcursions and occupation times of critical excited random walks

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math.PR2014★ 1 cited

Excursions and occupation times of critical excited random walks

Dmitry Dolgopyat, Elena Kosygina

The paper considers excited random walks (ERWs) on integers in i.i.d. environments with a bounded number of excitations per site. The emphasis is primarily on the critical case for…

math.PR2008

Non-perturbative approach to random walk in markovian environment

Dmitry Dolgopyat, Carlangelo Liverani

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.