We discuss a natural extension of Gilles Pisier’s approach to the study of measure concentration, isoperimetry, and Poincaré-type inequalities. This approach allows one to explore counterparts of various results about Gaussian measures in the class of rotationally invariant probability distributions on Euclidean spaces, including multidimensional Cauchy measures.
ON GILLES PISIER’S APPROACH TO GAUSSIAN CONCENTRATION, ISOPERIMETRY, AND POINCARÉ-TYPE INEQUALITIES
Bruno Volzone
2024-01-01
Abstract
We discuss a natural extension of Gilles Pisier’s approach to the study of measure concentration, isoperimetry, and Poincaré-type inequalities. This approach allows one to explore counterparts of various results about Gaussian measures in the class of rotationally invariant probability distributions on Euclidean spaces, including multidimensional Cauchy measures.File in questo prodotto:
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