Accéder au contenu principal
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
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 :