{"paper":{"title":"The Logarithmic Sobolev Constant of The Lamplighter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Abdellah Youssfi (LAMA), Anne Beaulieu (LAMA), Bernard Host (LAMA), Cyril Roberto (LAMA), Evgeny Abakumov (LAMA), Fran\\c{c}ois Blanchard (LAMA), Francis Ribaud (LAMA), Fr\\'ed\\'eric Portal (LAMA), Guillaume Lecu\\'e (LAMA), Julien Roth (LAMA), Magdalena Kobylanski (LAMA), Marie-H\\'el\\`ene Mourgues (LAMA), Mathieu Meyer (LAMA), Matthieu Fradelizi (LAMA), Miguel Martinez (LAMA), Natha\\\"el Gozlan (LAMA), Pascal Romon (LAMA), Paul-Marie Samson (LAMA), Pierre Vandekerkhove (LAMA), Thiery Jeantheau (LAMA)","submitted_at":"2010-11-08T10:43:20Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1764","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}