Simon Zugmeyer

Postdoctoral researcher at the ENS Lyon, teaching students preparing the agrégation exam and part of the analysis et modelling team. Before that, I was a member of the MAP5 lab, working with Nathaël Gozlan. Until 2019, I was a PhD student in Lyon under the supervision of both Louis Dupaigne and Ivan Gentil.

email simon@zugmeyer.com
office 419

Research themes

Partial differential equations
Optimal functional inequalities
Optimal transport
More details in this presentation (in French)

Papers

  1. [arXiv] Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no.3, 861-885.
  2. [arXiv] A family of Beckner inequalities under various curvature-dimension conditions (2019), with Ivan Gentil, to be published in Bernoulli.
  3. [HAL] Entropy flows and functional inequalities in convex sets (2019), submitted.
  4. [HAL] Sobolev's inequality under a curvature-dimension condition (2020), with Louis Dupaigne and Ivan Gentil, to be published in Annales Mathématiques de Toulouse.
  5. [arXiv] Transport proofs of some functional inverse Santaló inequalities (2021), with Matthieu Fradelizi and Nathaël Gozlan, submitted.

You can find the manuscript of my thesis here.