Note on the Heat-kernel Decay for Random Walk among Random Conductances with Heavy Tail
نویسنده
چکیده
We study models of discrete-time, symmetric, Zd-valued random walks in random environments, driven by a field of i.i.d. randomnearest-neighbor conductances ωxy ∈ [0, 1], with polynomial tail near 0 with exponent γ > 0. For all d ≥ 4, we prove that the heat-kernel decay is as close as we want to the standard decay n−d/2 for large values of the parameter γ. keywords : Randomwalk, Random environments, Markov chains, Random conductances, Percolation. MSC : 60G50; 60J10; 60K37.
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تاریخ انتشار 2009