Yann Chaubet   


I am assistant professor (maître de conférences) at the LMJL (Nantes Université).
Before that, I was Herchel Smith Research Fellow at the DPMMS (Cambridge University).
My P.h.D thesis was defended at the LMO (Université Paris-Saclay) and was supervised by Colin Guillarmou.
Here is my CV.

Research interests

I study certain zeta functions associated to hyperbolic dynamical systems (geodesic flows in negative curvature, billiard flows) and their link with the underlying topology ; those functions are studied with the help of functionnal and microlocal analytic tools, through the prism of Pollicott-Ruelle resonances.

Preprints

9. Nonlinear chaotic Vlasov equations, with Daniel Han-Kwan and Gabriel Rivière, 2024. [arXiv]


10. Combinatorial zeta functions for triangles, with Léo Bénard, Nguyen Viet Dang and Thomas Schick, 2023. [arXiv]

Publications

1. Geodesic Levy flights and expected stopping time for random searches, with Yannick Guedes Bonthonneau, Thibault Lefeuvre et Leo Tzou.
   To appear in Probability theory and related fields. [arXiv]


2. Dynamical zeta functions for billiards, with Vesselin Petkov
   To appear in Annales de l'Institut Fourier. [arXiv]


3. Resolvent of vector fields and Lefschetz numbers, with Yannick Guedes Bonthonneau.
   To appear in Pure and Applied Analysis. [arXiv]


4. Dynamical torsion for contact Anosov flows, with Nguyen Viet Dang.
   To appear in Analysis & PDE. [arXiv]


5. Closed geodesics with prescribed intersection numbers.
   Geometry & Topology, 28:701–758, 2024. [arXiv]


6. Poincaré series for surfaces with boundary.
   Nonlinearity, 35(12):5993, 2022. [arXiv]


7. Closed billiard trajectories with prescribed bounces.
   Annales Henri Poincaré, Vol. 24, No. 3, pp. 1051-1075, 2022. [arXiv]

Workshop on pseudo-holomorphic curves

Workshop on Floer homology

Workshop on embedded contact homology

Mathematical texts

• Counting closed geodesics under intersection constraints (A poster).
• The Ruelle zeta function for Anosov flows (Master 2 thesis).
• Le théorème de la masse positive, with Vincent Divol (first year thesis at ENS).