Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights
成果类型：
Article
署名作者：
Andres, Sebastian; Chiarini, Alberto; Slowik, Martin
署名单位：
University of Manchester; Eindhoven University of Technology; University of Mannheim
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-021-01028-6
发表日期：
2021
页码：
1145-1181
关键词：
摘要：
We establish a quenched local central limit theorem for the dynamic random conductance model on Z(d) only assuming ergodicity with respect to space-time shifts and a moment condition. As a key analytic ingredient we show Holder 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.
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