期刊
PROBABILITY THEORY AND RELATED FIELDS
卷 170, 期 1-2, 页码 363-386出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00440-017-0759-z
关键词
Random conductance model; Invariance principle; Percolation; Isoperimetric inequality
资金
- DFG Research Training Group [RTG 1845]
- Berlin Mathematical School (BMS)
We consider a stationary and ergodic random field that is parameterized by the edge set of the Euclidean lattice , . The random variable , taking values in and satisfying certain moment bounds, is thought of as the conductance of the edge e. Assuming that the set of edges with positive conductances give rise to a unique infinite cluster , we prove a quenched invariance principle for the continuous-time random walk among random conductances under certain moment conditions. An essential ingredient of our proof is a new anchored relative isoperimetric inequality.
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