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math.PR2023
On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincaré-type inequalities
Sergey G. Bobkov, Bruno Volzone
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 c…
math.AP2023
Symmetrization results for general nonlocal linear ellipitic and parabolic problems
Vincenzo Ferone, Gianpaolo Piscitelli, Bruno Volzone
We establish a Talenti-type symmetrization result in the form of mass concentration (i.e. integral comparison) for very general linear nonlocal elliptic problems, equipped with hom…