{ "id": "1202.0803", "version": "v2", "published": "2012-02-03T19:29:59.000Z", "updated": "2012-10-11T09:44:28.000Z", "title": "Invariance Principle for the Random Conductance Model with dynamic bounded Conductances", "authors": [ "Sebastian Andres" ], "journal": "Ann. Inst. H. Poincar\\'e Probab. Statist. , Volume 50, Number 2 (2014), 315-713", "doi": "10.1214/12-AIHP527", "categories": [ "math.PR" ], "abstract": "We study a continuous time random walk X in an environment of dynamic random conductances. We assume that the conductances are stationary ergodic, uniformly bounded and bounded away from zero and polynomially mixing in space and time. We prove a quenched invariance principle for X, and obtain Green's functions bounds and a local limit theorem. We also discuss a connection to stochastic interface models.", "revisions": [ { "version": "v2", "updated": "2012-10-11T09:44:28.000Z" } ], "analyses": { "subjects": [ "60K37", "60F17", "82C41" ], "keywords": [ "random conductance model", "dynamic bounded conductances", "invariance principle", "continuous time random walk", "local limit theorem" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.0803A" } } }