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Rogers-Shephard inequality for log-concave functions
Ponente: Hugo Jiménez Gómez
Institución: Universidade Federal de Minas Gerais
Tipo de Evento: Researcher
Institución: Universidade Federal de Minas Gerais
Tipo de Evento: Researcher
| When |
Sep 29, 2015
from 03:00 PM to 04:00 PM |
|---|---|
| Where | Salón Graciela Salicrup |
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We prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex bodies. The original inequalities provide an optimal relation between the volume of a convex body and the volume of several symmetrizations of the body, such as, its difference body. We characterize the equality cases in all these inequalities. Our method is based on the extension of the notion of a convolution body of two convex sets to any pair of log-concave functions and the study of some geometrical properties of these new sets.
Trabajo conjunto con: D. Alonso-Gutierrez, B. Gonzalez and R. Villa