Noam Berger

activity

20002024

most citedQuenched invariance principle for simple random walk on percolation clusters

228 citations · 583 across the 35 of their papers we have counts for

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Showing 2006 · math.PRShow all

2 papers · 2 filters

math.PR2006★ 61 cited

Anomalous heat-kernel decay for random walk among bounded random conductances

Noam Berger, Marek Biskup, Christopher E. Hoffman +1

We consider the nearest-neighbor simple random walk on $Z^{d}$ , $d \geq 2$ , driven by a field of bounded random conductances $ω_{x y} \in [0, 1]$ . The conductance law is i.i.d. subject to…

math.PR2006★ 18 cited

Limiting velocity of high-dimensional random walk in random environment

Noam Berger

We show that random walk in uniformly elliptic i.i.d. environment in dimension $\geq 5$ has at most one non zero limiting velocity. In particular this proves a law of large numbers…