OALib Journal期刊
ISSN: 2333-9721
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The Logarithmic Sobolev Constant of The Lamplighter
DOI: 10.1016/j.jmaa.2012.10.002
Evgeny Abakumov ,
Anne Beaulieu ,
Fran?ois Blanchard ,
Matthieu Fradelizi ,
Natha?l 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
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.
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