Zhan Shi

activity

20032005

most citedModerate deviations for diffusions with Brownian potentials

20 citations · 39 across the 6 of their papers we have counts for

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Showing 2005Show all

2 papers · 1 filter

math.PR2005★ 1 cited

Valleys and the maximum local time for random walk in random environment

Amir Dembo, Nina Gantert, Yuval Peres +1

Let $ξ (n, x)$ be the local time at $x$ for a recurrent one-dimensional random walk in random environment after $n$ steps, and consider the maximum $ξ^{*} (n) = max_{x} ξ (n, x)$ . It is k…

math.PR2005★ 20 cited

Moderate deviations for diffusions with Brownian potentials

Yueyun Hu, Zhan Shi

We present precise moderate deviation probabilities, in both quenched and annealed settings, for a recurrent diffusion process with a Brownian potential. Our method relies on fine…