Publications


Probability

Lévy Flights
  • Geodesic Lévy flights and expected stopping time for random searches, with Yann Chaubet, Yannick Guedes Bonthonneau and Leo Tzou [PDF]

Dynamical systems

Hyperbolic and partially hyperbolic dynamics
  • On polynomial structures over spheres, with Mihajlo Cekić [PDF]
  • On the ergodicity of the frame flow on even-dimensional manifolds, with Mihajlo Cekić, Andrei Moroianu and Uwe Semmelmann [PDF]
  • Isometric extensions of Anosov flows via microlocal analysis, to appear in Communications in Mathematical Physics [PDF]
  • The Holonomy Inverse Problem, with Mihajlo Cekić, to appear in Journal of the European Mathematical Society [PDF]
  • Towards Brin’s conjecture on frame flow ergodicity: new progress and perspectives, with Mihajlo Cekić, Andrei Moroianu and Uwe Semmelmann, Math. Res. Rep. 3 (2022), 21–34 [PDF]
  • Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics,  with Yannick Guedes Bonthonneau, to appear in Annales Henri Lebesgue [PDF]
  • Classical and microlocal analysis of the X-ray transform on Anosov manifolds, with Sébastien Gouëzel,  Anal. PDE 14 (2021), no. 1, 301–322 [PDF]
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]

Geometric rigidity

Marked length spectrum
  • 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]
LENS & BOUNDARY RIGIDITY
  • 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]

Slides


Unpublished texts