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Heat kernel estimates and local CLT for random walk among random
conductances with a power-law tail near zero
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by
Takashi Kumagai, Kyoto University
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Abstract:
We study on-diagonal heat kernel estimates and exit time estimates for
continuous time random walks (CTRWs) among i.i.d. random conductances with a
power-law tail near zero. For two types of natural CTRWs, we give optimal
exponents of the tail such that the behaviors are standard (i.e. similar to
the random walk on the Euclidean space) above the exponents. We then
establish the local CLT for the CTRWs. We will also compare our results to
the recent results by Andres-Deuschel-Slowik.

This talk is a joint work with O. Boukhadra (Constantine) and P. Mathieu
(Marseille).