Gauthier Clerc

I'm a PhD student in Camille Jordan Institute , at Lyon 1 university , in the EDPA team. I'm writing my thesis under the supervision of Arnaud Guillin and Ivan Gentil. My research work is mostly focused on the Boltzmann entropy, the Schrödinger problem and their links with functionnal inequalities. For a friendly introduction to the topic I recommend the reading of the following paper of Ivan Gentil [Hal].

office 109-E

Research themes

Optimal transport
Schrödinger problem
Fonctionnal inequalities
Otto calculus
Bakry-Emery curvature-dimension conditions


  1. [HAL] [arXiv] Longtime behaviour of entropic interpolations
  2. [HAL][arXiv] On the variational interpretation of local logarithmic Sobolev inequalities.
  3. [HAL][arXiv] Regularity properties of the Schrödinger cost


I'm a co-organisator of the PhD-student seminary of the ICJ and UMPA since september 2020. I'm also member of the lab board of ICJ since January 2020.