374 citations
- École Normale Supérieure de LyonFR34 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Mathématiques Appliquées à Paris 5FR5 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR4 papers
- Université Paris CitéFR4 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR3 papers
- Institut de recherche mathématique de RennesFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Université de LyonFR3 papers
- Courant Institute of Mathematical SciencesUS2 papers
- Instituto Nacional de Matemática Pura e AplicadaBR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
9 papers · 1 filter
Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces
Olivier Druet, Emmanuel Hebey
We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced…
Support convergence in the single ring theorem
Alice Guionnet, Ofer Zeitouni
We study the eigenvalues of non-normal square matrices of the form A_n=U_nT_nV_n with U_n,V_n independent Haar distributed on the unitary group and T_n real diagonal. We show that…
Holomorphic actions, Kummer examples, and Zimmer Program
Serge Cantat, Abdelghani Zeghib
We classify compact Kähler manifolds of dimension on which acts a lattice of an almost simple real Lie group of rank . This provides a new line in the so-ca…
What is Cost?
Damien Gaboriau
Two-page paper on the notion of cost of groups and measured equivalence relations to appear in the "What is?" series in the Notices of the AMS.
Large deviations of the extreme eigenvalues of random deformations of matrices
Florent Benaych-Georges, Alice Guionnet, Mylène Maïda
Consider a real diagonal deterministic matrix of size with spectral measure converging to a compactly supported probability measure. We perturb this matrix by adding a ra…
Ilmanen's Lemma on Insertion of C Functions
Albert Fathi, Maxime Zavidovique
We give a proof of Ilmanen's lemma, which asserts that between a locally semi-convex and a locally semi-concave function it is possible to find a C function.