Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights
2021 ◽
Vol 179
(3-4)
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pp. 1145-1181
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AbstractWe establish a quenched local central limit theorem for the dynamic random conductance model on $${\mathbb {Z}}^d$$ Z d only assuming ergodicity with respect to space-time shifts and a moment condition. As a key analytic ingredient we show Hölder continuity estimates for solutions to the heat equation for discrete finite difference operators in divergence form with time-dependent degenerate weights. The proof is based on De Giorgi’s iteration technique. In addition, we also derive a quenched local central limit theorem for the static random conductance model on a class of random graphs with degenerate ergodic weights.
2015 ◽
Vol 67
(4)
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pp. 1413-1448
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1981 ◽
pp. 321-330
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1974 ◽
Vol 37
(3)
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pp. 256-256
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2018 ◽
Vol 2018
(1)
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Keyword(s):
1974 ◽
Vol 37
(2)
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pp. 141-160
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2016 ◽
Vol 48
(4)
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pp. 732-750
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2011 ◽
Vol 121
(2)
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pp. 217-228
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