Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights
نویسندگان
چکیده
Abstract We 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 moment condition. As key analytic ingredient we show Hölder continuity estimates solutions heat equation discrete finite difference operators in divergence form time-dependent degenerate weights. The proof is based De Giorgi’s iteration technique. In addition, also derive static class of graphs ergodic
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2021
ISSN: ['0178-8051', '1432-2064']
DOI: https://doi.org/10.1007/s00440-021-01028-6