{ "id": "math/0611836", "version": "v1", "published": "2006-11-27T20:22:16.000Z", "updated": "2006-11-27T20:22:16.000Z", "title": "Equilibrium fluctuations for the zero-range process on the Sierpinski gasket", "authors": [ "M. D. Jara" ], "comment": "9 pages", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We obtain the equilibrium fluctuations for the empirical density of particles for the zero-range process in the Sierpinski gasket. The limiting process is a generalized Ornstein-Uhlenbeck process generated by the Neumann Laplacian and its corresponding Dirichlet form on the gasket.", "revisions": [ { "version": "v1", "updated": "2006-11-27T20:22:16.000Z" } ], "analyses": { "subjects": [ "60K35", "82C22" ], "keywords": [ "zero-range process", "sierpinski gasket", "equilibrium fluctuations", "neumann laplacian", "corresponding dirichlet form" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11836J" } } }