Publications

Geometric inverse problems

Marked length spectrum

Generic injectivity of the X-ray transform, with Mihajlo Cekić,
Local rigidity of manifolds with hyperbolic cusps II. Nonlinear theory, with Yannick Guedes Bonthonneau
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.
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.
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.

LENS & BOUNDARY RIGIDITY

Local lens rigidity on manifolds of Anosov type, with Mihajlo Cekić, Colin Guillarmou,
Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces, Comment. Math. Helv. 95 (2020), no. 1, 129–166.
Local marked boundary rigidity under hyperbolic trapping assumptions, J. Geom. Anal. 30 (2020), no. 1, 448–465.
On the s-injectivity of the X-ray transform for manifolds with hyperbolic trapped set, Nonlinearity 32 (2019), no. 4, 1275–1295.

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,
Isometric extensions of Anosov flows via microlocal analysis,
On the ergodicity of the frame flow on even-dimensional manifolds, with Mihajlo Cekić, Andrei Moroianu and Uwe Semmelmann,
The Holonomy Inverse Problem, with Mihajlo Cekić,
Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics, with Yannick Guedes Bonthonneau,
Classical and microlocal analysis of the X-ray transform on Anosov manifolds, with Sébastien Gouëzel, Anal. PDE 14 (2021), no. 1, 301–322.

General dynamical systems

Generic dynamical properties of connections on vector bundles, with Mihajlo Cekić, to appear in International Mathematics Research Notices.
On the genericity of the shadowing property for conservative homeomorphisms, with Pierre-Antoine Guihéneuf, Proc. Amer. Math. Soc. 146 (2018), no. 10, 4225–4237.

Slides

Generic dynamical properties of connections on vector bundles, slides of a talk given online,
Geodesic stretch, pressure metric, marked length spectrum, video of a talk given at the online Pangolin Seminar,
On the rigidity of Riemannian manifolds, slides of my Ph.D defense, Orsay, France, December 2019,
Local rigidity of manifolds with hyperbolic cusps, slides of a talk given at the MSRI, Berkeley, USA, November 2019,
The X-ray transform on Anosov manifolds, video of a talk given at the conference « Probing the Earth with microlocal analysis », BIRS, Banff, Canada, April 2019. The slides are available here.

Unpublished texts

On the rigidity of Riemannian manifolds, the manuscript of my thesis,
Introduction to inverse geometric problems, second master degree’s thesis, under the supervision of Colin Guillarmou,
Topological dynamics, first master degree’s thesis, under the supervision of Alexander Arbieto, Research award of the Ecole Polytechnique,
A poster explaining my research (in french), presented at the conference « Echos des Sciences », Orsay, March 2018,
From the local to the global injectivity of the X-ray transform, a note presented at the conference « Analytic studies of flows », Peyresq, June 2018

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