Accéder au contenu principal
Preprints
On transparent manifolds, in preparation, with Mihajlo Cekić,
Stability estimates for connections over Anosov manifolds, in preparation, with Mihajlo Cekić,
Geometric inverse problems on closed Anosov manifolds (survey), preliminary version, still under construction (comments are welcome!),
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Unpublished texts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
WordPress: J'aime chargement…
%d blogueurs aiment cette page :