Anomalous Heat-kernel Decay for Random Walk among Polynomial Lower Tail Random Conductances
نویسنده
چکیده
ABSTRACT. We consider the nearest-neighbor simple random walk on Zd, d ≥ 4, driven by a field of i.i.d. random nearest-neighbor conductances ωxy ∈ [0, 1]. Our aim is to derive estimates of the heat-kernel decay in a case where ellipticity assumption is absent. We consider the case of independant conductances with polynomial tail near 0 and obtain for almost every environment an anomalous lower bound on the heat-kernel.
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تاریخ انتشار 2008