ERC Workshop on Optimal Transportation and Applications
timetable:
Tue 6 Nov, 11:40 - 12:30, Aula Dini
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Concentration of Measure and Poincaré Inequality
speaker: Nathael Gozlan (Université Paris Est - Marne la Vallée)abstract: We show that a probability measure on an abstract metric space verifies a non trivial dimension free concentration of measure property for the \(\ell_2\) product distance if and only it verifies Poincaré inequality. The proof is based on infimum convolution operators and Hamilton Jacobi equations. We also show other applications of infimum convolution operators in the study of transport inequalities in a continuous or discrete setting (joint with C. Roberto and P-M Samson).
timetable:
Tue 6 Nov, 11:40 - 12:30, Aula Dini
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