Publications


Geometric inverse problems

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]

Dynamical systems, Pollicott-Ruelle resonances

(partially) Hyperbolic dynamics
  • Towards Brin’s conjecture on frame flow ergodicity: new progress and perspectives, with Mihajlo Cekić, Andrei Moroianu and Uwe Semmelmann, Mathematics Research Reports, Volume 3 (2022), pp. 21-34 [PDF]
  • Isometric extensions of Anosov flows via microlocal analysis [PDF]
  • On the ergodicity of the frame flow on even-dimensional manifolds, with Mihajlo Cekić, Andrei Moroianu and Uwe Semmelmann [PDF]
  • The Holonomy Inverse Problem, with Mihajlo Cekić [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, International Mathematics Research Notices, Volume 2022, Issue 14, July 2022, Pages 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]

Slides


Unpublished texts