-
Locally symmetric submanifolds lift to spectral manifolds
In this work we prove that every locally symmetric smooth submanifold gives rise to a naturally defined smooth submanifold of the space of symmetric matrices, called... -
Upper bounds for eigenvalues of natural operators on compact Riemannian manif...
The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting on functions on a compact Riemannian manifold $(M,g)$ such as the... -
Isoperimetric control of the Steklov spectrum
International audience -
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictl...
International audience -
Surgery and Harmonic Spinors
Let M be a compact manifold with a fixed spin structure \chi. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the... -
Semigroup estimates and stability/instability results for the linearized thre...
International audience -
On the second-order statistics of the EVD of sample covariance matrices : app...
International audience -
Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth ...
20 pages no picture -
Eigenvalues of the Laplacian on a compact manifold with density
International audience -
An infinite dimensional version of the Schur convexity property and applications
We extend to infinite dimensional separable Hilbert spaces the Schur convexity property of eigenvalues of a symmetric matrix with real entries. Our framework includes... -
A Faber-Krahn inequality with drift
Let $\Omega$ be a bounded $C^{2,\alpha}$ domain in $\R^n$ ($n\geq 1$, $0<\alpha<1$), $\Omega^{\ast}$ be the open Euclidean ball centered at $0$ having the same... -
Extremum Problems for Eigenvalues of Elliptic Operators
This dataset has no description
-
Characterizing and Approximating Eigenvalue Sets of Symmetric Interval Matrices
International audience -
Spectral (Isotropic) Manifolds and Their Dimension
International audience -
On the structure of locally symmetric manifolds
To appear in Journal of Convex Analysis
