Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model
نویسندگان
چکیده
Abstract We study models of continuous-time, symmetric, Zd -valued random walks in random environment, driven by a field of i.i.d. random nearest-neighbor conductances ωx y ∈ [0,1] with a power law with an exponent γ near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel hωt (0, 0). We show that for γ > d 2 , the spectral dimension is standard, i.e.,
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