Abstract
AbstractWe prove a quenched local central limit theorem for continuous-time random walks in $${\mathbb {Z}}^d, d\ge 2$$
Z
d
,
d
≥
2
, in a uniformly-elliptic time-dependent balanced random environment which is ergodic under space-time shifts. We also obtain Gaussian upper and lower bounds for quenched and (positive and negative) moment estimates of the transition probabilities and asymptotics of the discrete Green’s function.
Funder
Technische Universität Berlin
Publisher
Springer Science and Business Media LLC
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Analysis
Reference29 articles.
1. Andres, S.: Invariance principle for the random conductance model with dynamic bounded conductances. Ann. Inst. Henri Poincaré Probab. Stat. 50(2), 352–374 (2014)
2. Andres, S., Chiarini, A., Deuschel, J.-D., Slowik, M.: Quenched invariance principle for random walks with time-dependent ergodic degenerate weights. Ann. Probab. 46(1), 302–336 (2018)
3. Andres, S., Chiarini, A., Slowik, M.: Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights. Probab. Theory Related Fields 179, 1145–1181 (2021)
4. Andres, S., Deuschel, J.-D., Slowik, M.: Harnack inequalities on weighted graphs and some applications to the random conductance model. Probab. Theory Related Fields 164(3–4), 931–977 (2016)
5. Andres, S., Deuschel, J.-D., Slowik, M.: Green kernel asymptotics for two-dimensional random walks under random conductances. Electron. Commun. Probab. 25(58), 1–14 (2020)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献