N. Gantert

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20022005

most citedValleys and the maximum local time for random walk in random environment

1 citations · 1 across the 3 of their papers we have counts for

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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.PR2004

Annealed deviations of random walk in random scenery

Nina Gantert, Wolfgang König, Zhan Shi

Let $(Z_{n})_{n \in N}$ be a $d$ -dimensional {\it random walk in random scenery}, i.e., $Z_{n} = \sum_{k = 0}^{n - 1} Y (S_{k})$ with $(S_{k})_{k \in N_{0}}$ a random walk in $Z^{d}$ and $(Y(z))_{z\in\…

math.PR2002

The speed of biased random walk on percolation clusters

Noam Berger, Nina Gantert, Yuval Peres

We consider biased random walk on supercritical percolation clusters in $Z^{2}$ . We show that the random walk is transient and that there are two speed regimes: If the bias is large…