{ "id": "1011.1764", "version": "v1", "published": "2010-11-08T10:43:20.000Z", "updated": "2010-11-08T10:43:20.000Z", "title": "The Logarithmic Sobolev Constant of The Lamplighter", "authors": [ "Evgeny Abakumov", "Anne Beaulieu", "François Blanchard", "Matthieu Fradelizi", "Nathaël Gozlan", "Bernard Host", "Thiery Jeantheau", "Magdalena Kobylanski", "Guillaume Lecué", "Miguel Martinez", "Mathieu Meyer", "Marie-Hélène Mourgues", "Frédéric Portal", "Francis Ribaud", "Cyril Roberto", "Pascal Romon", "Julien Roth", "Paul-Marie Samson", "Pierre Vandekerkhove", "Abdellah Youssfi" ], "journal": "Journal of Mathematical Analysis and applications 399 (2013) 576-585", "doi": "10.1016/j.jmaa.2012.10.002", "categories": [ "math.PR" ], "abstract": "We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.", "revisions": [ { "version": "v1", "updated": "2010-11-08T10:43:20.000Z" } ], "analyses": { "keywords": [ "logarithmic sobolev constant", "finite lamplighter graphs", "spectral gap", "underlying base", "application" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.1764A" } } }