Optimal transport, concentration of measure and functional inequalities.

Abstract:

This talk is devoted to Talagrand’s transport-entropy inequalities and its deep connections to the concentration of measure phenomenon, large deviation theory and logarithmic Sobolev inequalities. After an introductive part on the field, I will present recent results obtained with P-M Samson and C. Roberto characterizing different functional inequalities in terms of concentration of measure properties.

If time enables, I will also present some works in progress about transport inequalities in a discrete setting.

Posted on Jun 11, 2015 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars