Hyperbolic and partially hyperbolic dynamics
Generic dynamical systems
  • Generic dynamical properties of connections on vector bundles, with Mihajlo Cekić, Int. Math. Res. Not. 2022, no. 14, 10649–10703 [PDF]
  • On the genericity of the shadowing property for conservative homeomorphisms, with Pierre-Antoine Guihéneuf, Proc. Amer. Math. Soc. 146 (2018), no. 10, 4225–4237 [PDF]
Marked length spectrum
  • Marked length spectrum rigidity for Anosov surfaces, with Colin Guillarmou and Gabriel P. Paternain, in preparation.
  • Generic injectivity of the X-ray transform, with Mihajlo Cekić [PDF]
  • Local rigidity of manifolds with hyperbolic cusps II. Nonlinear theory, with Yannick Guedes Bonthonneau [PDF]
  • Local rigidity of manifolds with hyperbolic cusps I. Linear theory and pseudodifferential calculus, with Yannick Guedes Bonthonneau, to appear in Annales de l’Institut Fourier [PDF]
  • Geodesic stretch, pressure metric and marked length spectrum rigidity, with Colin Guillarmou and Gerhard Knieper, Ergodic Theory Dynam. Systems 42 (2022), no. 3, 974–1022, special volume in memory of Anatole Katok [PDF]
  • The marked length spectrum of Anosov manifolds, with Colin Guillarmou, Ann. of Math. (2) 190 (2019), no. 1, 321–344. A talk by Ursula Hämenstadt at the Bourbaki seminar about our work. [PDF]
inverse problems, tensor tomography, LENS & BOUNDARY RIGIDITY
  • Invariant distributions and the transport twistor space of closed surfaces, with Jan Bohr and Gabriel P. Paternain [PDF]
  • Local lens rigidity on manifolds of Anosov type, with Mihajlo Cekić, Colin Guillarmou [PDF]
  • Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces, Comment. Math. Helv. 95 (2020), no. 1, 129–166 [PDF]
  • Local marked boundary rigidity under hyperbolic trapping assumptions, J. Geom. Anal. 30 (2020), no. 1, 448–465 [PDF]
  • On the s-injectivity of the X-ray transform for manifolds with hyperbolic trapped set, Nonlinearity 32 (2019), no. 4, 1275–1295 [PDF]
lévy Flights
  • Geodesic Lévy flights and expected stopping time for random searches, with Yann Chaubet, Yannick Guedes Bonthonneau and Leo Tzou [PDF]

Other texts

  • Microlocal analysis in hyperbolic dynamics and geometry, Habilitation à diriger des recherches [PDF]
  • On the rigidity of Riemannian manifolds, Ph.D thesis under the supervision of Colin Guillarmou [PDF]
  • Introduction to inverse geometric problems, second master degree’s thesis, under the supervision of Colin Guillarmou [PDF]
  • Topological dynamics, first master degree’s thesis under the supervision of Alexander Arbieto, Research award of the Ecole Polytechnique [PDF]

Slides and online talks