Thibault Lefeuvre

I am a French mathematician, CNRS Junior researcher working at Sorbonne Université (IMJ-PRG), and former student of the Ecole polytechnique. I am also a writer, published by Gallimard. My first novel Éducation tropicale was published in 2018 and was awarded the Albert Bernard prize.


Latest news :

  • 17/01/21: Mon article sur les Géométries chaotiques vient de paraître sur la revue en ligne Images des Maths du CNRS. Il s’agit du premier d’une série de deux papiers : j’y explique ce que sont les géométries à courbure négative, en quoi ce sont des systèmes chaotiques, et quels sont leurs liens avec certains systèmes physiques tels que les particules d’un gaz (de Lorentz). Avec en prime de superbes simulations numériques de Frédéric Faure !
Un billard de Sinaï. Image : Frédéric Faure.
  • 09/01/21: I just uploaded (on this website) lectures notes on Geometric inverse problems on closed Anosov manifolds. These include : the study of the X-ray transform, the marked length spectrum conjecture (also known as the Burns-Katok conjecture), and the holonomy inverse problem. Comments would be greatly appreciated ! They are still under construction but might be intended for publication at some point.
  • 12/11/20: We uploaded on the arXiv our latest work with Yannick Guedes Bonthonneau : Radial estimates in Besov spaces, applications to some geometric problems. We prove microlocal radial source/sink estimates for Anosov flows in the spirit of Dyatlov-Zworski in general Besov spaces. We then show that these allow to recover standard results of the Livsic theory in hyperbolic dynamical systems such as De La Llave-Marco-Moryon (smooth Livsic Theorem) and Nitiça-Torok (smooth Livsic cocycle Theorem).

Upcoming talks:

  • 05/03/21: Ruelle-Pollicott Resonances in Dynamics and in Semi-classical Analysis Conference (online).
  • 10/02/21: Séminaire d’Analyse et Géométrie (Jussieu) et Groupe de travail sur l’Opérateur de Dirac (Orsay) (online)