Weighted heat kernel estimates: rate of convergence in Kolmogorov distance

arXiv2008.01506MaRDI QIDQ6346466

Author name not available (Why is that?)

Publication date: 4 August 2020

Abstract: This paper is concerned about random walks on random environments in the lattice $mathbb{Z}^d$. This model is analyzed through ergodicity in the form of the logarithmic Sobolev inequality. We assume that the environments are random variables being independent and identically distributed. Here, we give heat kernel estimates for non-diagonal random matrices leading in dimension $dgeq3$ a Berry-Esseen upper bound with a rate of convergence $t^{-frac110}$.

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