{ "id": "1810.01229", "version": "v1", "published": "2018-10-02T13:29:50.000Z", "updated": "2018-10-02T13:29:50.000Z", "title": "Long term behaviour of a reversible system of interacting random walks", "authors": [ "Svante Janson", "Vadim Shcherbakov", "Stanislav Volkov" ], "categories": [ "math.PR" ], "abstract": "This paper concerns the long-term behaviour of a system of interacting random walks labeled by vertices of a finite graph. The model is reversible which allows to use the method of electric networks in the study. In addition, examples of alternative proofs not requiring reversibility are provided.", "revisions": [ { "version": "v1", "updated": "2018-10-02T13:29:50.000Z" } ], "analyses": { "subjects": [ "60K35", "60G50" ], "keywords": [ "interacting random walks", "long term behaviour", "reversible system", "paper concerns", "long-term behaviour" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }