The Logarithmic Sobolev Constant of The Lamplighter

Details The Logarithmic Sobolev Constant of The Lamplighter The Logarithmic Sobolev Constant of The Lamplighter

2010-11-08

arxiv.org/abs/1011.1764v1

Mathematics

Probability

Scientific paper

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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