The Logarithmic Sobolev Constant of The Lamplighter

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

doi:10.1016/j.jmaa.2012.10.002

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arXiv · 1011.1764

The Logarithmic Sobolev Constant of The Lamplighter

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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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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. 2010-11-08. The Logarithmic Sobolev Constant of The Lamplighter. https://doi.org/10.1016/j.jmaa.2012.10.002

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