The Logarithmic Sobolev Constant of The Lamplighter

Abdellah Youssfi (LAMA); Anne Beaulieu (LAMA); Bernard Host (LAMA); Cyril Roberto (LAMA); Evgeny Abakumov (LAMA); Fran\c{c}ois Blanchard (LAMA); Francis Ribaud (LAMA); Fr\'ed\'eric Portal (LAMA); Guillaume Lecu\'e (LAMA); Julien Roth (LAMA)

arxiv: 1011.1764 · v1 · pith:KYVNOVXZnew · submitted 2010-11-08 · 🧮 math.PR

The Logarithmic Sobolev Constant of The Lamplighter

Evgeny Abakumov (LAMA) , Anne Beaulieu (LAMA) , Fran\c{c}ois Blanchard (LAMA) , Matthieu Fradelizi (LAMA) , Natha\"el Gozlan (LAMA) , Bernard Host (LAMA) , Thiery Jeantheau (LAMA) , Magdalena Kobylanski (LAMA)

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Guillaume Lecu\'e (LAMA) Miguel Martinez (LAMA) Mathieu Meyer (LAMA) Marie-H\'el\`ene Mourgues (LAMA) Fr\'ed\'eric Portal (LAMA) Francis Ribaud (LAMA) Cyril Roberto (LAMA) Pascal Romon (LAMA) Julien Roth (LAMA) Paul-Marie Samson (LAMA) Pierre Vandekerkhove (LAMA) Abdellah Youssfi (LAMA)

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keywords constantgivelamplighterlogarithmicsobolevapplicationbaseestimates

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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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The Logarithmic Sobolev Constant of The Lamplighter

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