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Preprints
Geometric inverse problems on closed Anosov manifolds: a survey, in preparation,
On transparent manifolds, in preparation, with Mihajlo Cekić,
Stability estimates for connections over Anosov manifolds, in preparation, with Mihajlo Cekić,
Radial estimates in Besov spaces, applications to some geometric problems , with Yannick Guedes Bonthonneau,
Generic dynamical properties of connections on vector bundles , 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,
Geometric inverse problems
The marked length spectrum of Anosov manifolds , with Colin Guillarmou , to appear in Annals of Mathematics , vol. 190, n°1 (2019) Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces , to appear in Commentarii Mathematici Helvetici (2019)Local marked boundary rigidity under hyperbolic trapping assumptions , to appear in Journal of Geometric Analysis (2019)On the s-injectivity of the X-ray transform for manifolds with hyperbolic trapped set , Nonlinearity , vol. 32, n°4 (2019), 1275–1295
Dynamical systems
Geodesic stretch, pressure metric and marked length spectrum rigidity , with Colin Guillarmou and Gerhard Knieper, to appear in Ergodic Theory and Dynamical Systems , special volume in memory of Anatole Katok.Classical and microlocal analysis of the X-ray transform on Anosov manifolds , with Sébastien Gouëzel, to appear in Analysis and PDE (2019)On the genericity of the shadowing property for conservative homeomorphisms , with Pierre-Antoine Guihéneuf , Proceedings of the AMS , vol. 146, n°10 (2018), 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Unpublished texts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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