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20 April 2024

» arxiv » 1011.1764

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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 ;
Date:	8 Nov 2010
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.
Source:	arXiv, 1011.1764
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