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On the convex Poincaré inequality and weak transportation inequalities

Geometric functional analysis and applications November 13, 2017 - November 17, 2017

November 17, 2017 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Radoslaw Adamczak (University of Warsaw; Polish Academy of Sciences)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • convex Poincare inequality

  • modified log-Sobolev inequalities

  • weak transportation inequalities

  • Hamilton-Jacobi equations

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

18-Adamczak

Abstract

I will discuss the connections between weak transportation inequalities with quadratic-linear cost functions, Bobkov-Ledoux type modified log-Sobolev inequalities for convex/concave functions and the convex Poincare inequality. If time permits I will also mention some self normalized moment inequalities for general convex functions, which can be easily obtained from concentration estimates for Lipschitz convex functions. Based on joint work with Michal Strzelecki.

Supplements
30106?type=thumb Adamczak notes 531 KB application/pdf Download
Video/Audio Files

18-Adamczak

H.264 Video 18-Adamczak.mp4 92 MB video/mp4 rtsp://videos.msri.org/data/000/030/030/original/18-Adamczak.mp4 Download
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