43:20
published on April 22, 2026
Transport optimal et mouvements de foules sous contrainte de congestion (Part 1)
By Bertrand Maury
Some bounds on probabilistic distances via integration by parts formulae
Appears in collection : 2022 - T3 - WS3 - Measure-theoretic Approaches and Optimal Transportation in Statistics
I will review a recent stream of research, dealing with the control of Wasserstein-type (and more general) probabilistic distances, both in uni- and multi-variate settings, by using infinite-dimensional integration by parts formulae. I will illustrate my presentation with examples from stochastic geometry (random geometric graphs and the geometry of Gaussian fields), and evoke several connections with generalized logarithmic Sobolev and concentration estimates.
