Damien Thomine's web page

Maître de conférences at the Paris-Saclay University (Orsay, France)

Research

  • A spectral gap for transfer operators of piecewise expanding maps

    • Discrete and Continuous Dynamical Systems, volume 30 (3), pp. 917-944, July 2011.

  • A Dobrushin uniqueness criterion for interacting markovian systems with synchronous updating

    • Unpublished.

  • A generalized central limit theorem in infinite ergodic theory

    Probability Theory and Related Fields, volume 158 (3-4), pp. 597-636, April 2014. Erratum.

  • Variations on a central limit theorem in infinite ergodic theory

    • Ergodic Theory and Dynamical Systems, volume 35 (5), pp. 1610-1657, 2015.

  • Local time and first return time for periodic semi-flows

    • Israel Journal of Mathematics, volume 215, pp. 53-98, 2016.

  • Potential kernel, hitting probabilities and distributional asymptotics

    • With Françoise Pène. To appear in Ergodic Theory and Dynamical Systems.

  • Keplerian shear in ergodic theory

    • To appear in the Annales Henri Lebesgue.

  • Ratio ergodic theorems: from Hopf to Birkhoff and Kingman

    • With Hans-Henrik Rugh. Preprint.

  • Central limit theorems for the Z^2-periodic Lorentz gas

    • With Françoise Pène. To appear in the Israel Journal of Mathematics.

  • Probabilistic potential theory and induction of dynamical systems

    • With Françoise Pène. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques. 2021, Vol. 57, No. 3, 1736--1767.

  • Sinai billiard maps with Ruelle resonances

    • Nonlinearity. 2020, Vol.33, No. 12, 6971.

  • Potential theory and Z^d-extensions (preprint)

    • Miscellaneous

  • My notes (fr) for the seminar "Geometry of groups, symplectic and contact geometries", organised by Camille Horbez and Anne Vaugon.

  • Some notes (fr), titled "Billards, tours de Young et paires standards", written for the workshop in ergodic theory at the university of Orsay. They are a short and technical introduction to hyperbolic billiards, to some tools used in their study (Young towers and standard pairs), and to some applications of averaging methods to billiards. I presented a second talk on the averaging methods themselves, following the excellent introduction by Jacopo de Simoi and Carlangelo Liverani.

  • My PhD dissertation, "Théorèmes limites pour les sommes de Birkhoff de fonctions de moyenne nulle en théorie ergodique en mesure infinie", defended on December 10th, 2013 (fr).

  • A Beamer (fr) for the lecture on "Volumes mixtes et théorème d'Hadwiger", Journées Louis Antoine on convexity, Rennes, April 5th, 2012.