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arXiv · 2311.03506

On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincar\'e-type inequalities

Sergey G. Bobkov·Bruno Volzone
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Abstract

We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincar\'e-type inequalities. This approach allows one to explore counterparts of various results about Gaussian measure in the class of rotationally invariant probability distribution on Euclidean spaces, including multidimensional Cauchy measures.

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Sergey G. Bobkov, Bruno Volzone. 2023-11-06. On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincar\'e-type inequalities. https://arxiv.org/abs/2311.03506

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