Add to ORKGWe study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature
Let $M$ be a compact hyperbolic manifold. The entropy bounds of Anantharaman et al. restrict the po...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...
We explore the geometric rigidity of negatively curved homogeneous spaces. We characterize negativel...
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved ...
We study the large eigenvalue limit for the eigenfunctions of the Laplacian, on a compact manifold o...
We added the proof of the Entropic Uncertainty Principle. 45 pages, 2 EPS figuresInternational audie...
Notes of the minicourse given at the workshop "Spectrum and dynamics", Centre de Recherches Mathemat...
20 pages. This note provides a detailed proof of a result announced in appendix A of a previous work...
42 pages, 3 figures. Compared to the second version, I have removed the proof in the case of surface...
We consider families of finite quantum graphs of increasing size and we are in-terested in how eigen...
In this thesis, we give a review of known results concerning the concentration of Laplace eigenfunct...
We prove the following entropy-rigidity result in finite volume: if X is a negatively curved manifol...
Abstract. In this article we examine the concentration and oscillation effects developed by high-fre...
In this memoir, we describe the interactions between dynamics and analysis on non-compact negatively...
Abstract. We announce asymptotic lower bounds for the spectral function of the Laplacian and for the...
Let $M$ be a compact hyperbolic manifold. The entropy bounds of Anantharaman et al. restrict the po...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...
We explore the geometric rigidity of negatively curved homogeneous spaces. We characterize negativel...
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved ...
We study the large eigenvalue limit for the eigenfunctions of the Laplacian, on a compact manifold o...
We added the proof of the Entropic Uncertainty Principle. 45 pages, 2 EPS figuresInternational audie...
Notes of the minicourse given at the workshop "Spectrum and dynamics", Centre de Recherches Mathemat...
20 pages. This note provides a detailed proof of a result announced in appendix A of a previous work...
42 pages, 3 figures. Compared to the second version, I have removed the proof in the case of surface...
We consider families of finite quantum graphs of increasing size and we are in-terested in how eigen...
In this thesis, we give a review of known results concerning the concentration of Laplace eigenfunct...
We prove the following entropy-rigidity result in finite volume: if X is a negatively curved manifol...
Abstract. In this article we examine the concentration and oscillation effects developed by high-fre...
In this memoir, we describe the interactions between dynamics and analysis on non-compact negatively...
Abstract. We announce asymptotic lower bounds for the spectral function of the Laplacian and for the...
Let $M$ be a compact hyperbolic manifold. The entropy bounds of Anantharaman et al. restrict the po...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...
We explore the geometric rigidity of negatively curved homogeneous spaces. We characterize negativel...