most citedThe Logarithmic Sobolev Constant of The Lamplighter

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math.PR2010★ 2 cited

The Logarithmic Sobolev Constant of The Lamplighter

Evgeny Abakumov, Anne Beaulieu, François Blanchard +17

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.