%0 Journal Article %T The Logarithmic Sobolev Constant of The Lamplighter %A Evgeny Abakumov %A Anne Beaulieu %A Fran£¿ois Blanchard %A Matthieu Fradelizi %A Natha£¿l Gozlan %A Bernard Host %A Thiery Jeantheau %A Magdalena Kobylanski %A Guillaume Lecu¨¦ %A Miguel Martinez %A Mathieu Meyer %A Marie-H¨¦l¨¨ne Mourgues %A Fr¨¦d¨¦ric Portal %A Francis Ribaud %A Cyril Roberto %A Pascal Romon %A Julien Roth %A Paul-Marie Samson %A Pierre Vandekerkhove %A Abdellah Youssfi %J Mathematics %D 2010 %I arXiv %R 10.1016/j.jmaa.2012.10.002 %X 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. %U http://arxiv.org/abs/1011.1764v1