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2010-11-08
The Logarithmic Sobolev Constant of The Lamplighter
Evgeny AbakumovAnne BeaulieuFrançois BlanchardMatthieu FradeliziNathaël GozlanBernard HostThiery JeantheauMagdalena KobylanskiGuillaume LecuéMiguel MartinezMathieu MeyerMarie-Hélène MourguesFrédéric PortalFrancis RibaudCyril RobertoPascal RomonJulien RothPaul-Marie SamsonPierre VandekerkhoveAbdellah Youssfi
文献摘要
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.
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