20 citations · 39 across the 6 of their papers we have counts for
6 papers
Valleys and the maximum local time for random walk in random environment
Amir Dembo, Nina Gantert, Yuval Peres +1
Let be the local time at for a recurrent one-dimensional random walk in random environment after steps, and consider the maximum . It is k…
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…
Frequently visited sets for random walks
Endre Csáki, Antónia Földes, Pál Révész +2
We study the occupation measure of various sets for a symmetric transient random walk in with finite variances. Let denote the occupation time of the set up to…
An Extreme-Value Analysis of the LIL for Brownian Motion
Davar Khoshnevisan, David A. Levin, Zhan Shi
We present an extreme-value analysis of the classical law of the iterated logarithm (LIL) for Brownian motion. Our result can be viewed as a new improvement to the LIL.
Annealed deviations of random walk in random scenery
Nina Gantert, Wolfgang König, Zhan Shi
Let be a -dimensional {\it random walk in random scenery}, i.e., with a random walk in and $(Y(z))_{z\in\…
Aggregation rates in one-dimensional stochastic systems with adhesion and gravitation
Mikhail Lifshits, Zhan Shi
We consider one-dimensional systems of self-gravitating sticky particles with random initial data and describe the process of aggregation in terms of the largest cluster size L_n a…