Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution (Q743085)

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scientific article; zbMATH DE number 6346955
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Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution
scientific article; zbMATH DE number 6346955

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    Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution (English)
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    22 September 2014
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    In this completely theoretical paper, the authors consider the circular Cauchy distribution on the unit circle and prove two properties regarding its spectral gap and its optimal logarithmic Sobolev constant.
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    circular Cauchy distribution
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    spectral gap
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    logarithmic Sobolev inequality
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