678 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
38 papers · 1 filter
The singular limit of the Water-Waves equations in the rigid lid regime
Benoît Mésognon-Gireau
The re-scaled Water-Waves equations depend strongly on the ratio epsilon between the amplitude of the wave and the depth of the water. We investigate in this paper the convergence…
A dispersive estimate for the linearized Water-Waves equations in finite depth
Benoît Mésognon-Gireau
We prove a dispersive estimate for the solutions of the linearized Water-Waves equations in dimension 1 in presence of a flat bottom. We prove a decay with respect to time t of ord…
Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions
Patrick Bernard, Stefan Suhr
We propose a theory "a la Conley" for cone fields using a notion of relaxed orbits based on cone enlargements, in the spirit of space time geometry. We work in the setting of close…
The Grunwald problem and approximation properties for homogeneous spaces
Cyril Demarche, Giancarlo Lucchini Arteche, Danny Neftin
Given a group and a number field , the Grunwald problem asks whether given field extensions of completions of at finitely many places can be approximated by a single fie…
Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
Habib Ammari, Matias Ruiz, Sanghyeon Yu +1
In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic r…
Higgs bundles, the Toledo invariant and the Cayley correspondence
Olivier Biquard, Oscar Garcia-Prada, Roberto Rubio
We define the Toledo invariant of a G-Higgs bundle on a Riemann surface, where G is a real semisimple group of Hermitian type, and we prove a Milnor-Wood type bound for this invari…
Kähler-Einstein metrics on group compactifications
Thibaut Delcroix
We obtain a necessary and sufficient condition of existence of a K{ä}hler-Einstein metric on a -equivariant Fano compactification of a complex connected reductive group…
A criterion for p-henselianity in characteristic p
Zoé Chatzidakis, Milan Perera
Let be a prime. In this paper we give a proof of the followingresult: A valued field of characteristic $p \textgreater{} 0$ is-henselian if and only if every element…
Rational cohomology tori
Olivier Debarre, Zhi Jiang, Martí Lahoz +1
We study normal compact Kähler spaces whose rational cohomology ring is isomorphic to that of a complex torus. We call them rational cohomology tori. We classify, up to dimension t…
Rational quintics in the real plane
Ilia Itenberg, Grigory Mikhalkin, Johannes Rau
From a topological viewpoint, a rational curve in the real projective plane is generically a smoothly immersed circle and a finite collection of isolated points. We give an isotopy…
Linear response for intermittent maps
V. Baladi, M. Todd
We consider the one parameter family () of Pomeau-Manneville type interval maps for and for $x \in [1/…
Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment
Bastien Mallein, Piotr Miłoś
The behavior of the maximal displacement of a supercritical branching random walk has been a subject of intense studies for a long time. But only recently the case of time-inhomoge…
Pro-categories in homotopy theory
Ilan Barnea, Yonatan Harpaz, Geoffroy Horel
The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the -ca…
Absence of Critical Points of Solutions to the Helmholtz Equation in 3D
Giovanni S. Alberti
The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain , given by \[ \left\{ \beg…
The Statistical Performance of Collaborative Inference
Gérard Biau, Kevin Bleakley, Benoit Cadre
The statistical analysis of massive and complex data sets will require the development of algorithms that depend on distributed computing and collaborative inference. Inspired by t…
Variétés de Kisin stratifiées et déformations potentiellement Barsotti-Tate
Xavier Caruso, Agnès David, Ariane Mézard
Let F be a unramified finite extension of Qp and rhobar be an irreducible mod p two-dimensional representation of the absolute Galois group of F. The aim of this article is the exp…
Nodal and spectral minimal partitions -- The state of the art in 2015 --
Virginie Bonnaillie-Noël, B. Helffer
In this article, we propose a state of the art concerning the nodal and spectral minimal partitions. First we focus on the nodal partitions and give some examples of Courant sharp…
An integral model structure and truncation theory for coherent group actions
Yonatan Harpaz, Matan Prasma
In this work we study the homotopy theory of coherent group actions from a global point of view, where we allow both the group and the space acted upon to vary. Using the model of…
Renormalizability of Liouville Quantum Gravity at the Seiberg bound
François David, Antti Kupiainen, Rémi Rhodes +1
Liouville Quantum Field Theory can be seen as a probabilistic theory of 2d Riemannian metrics , conjecturally describing scaling limits of discrete -random surfac…
Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows
Viviane Baladi, Mark Demers, Carlangelo Liverani
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional finite horizon Lorentz Gas (i.e., the Sinai billiard flow with finite horizon). A…
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
V. Bonnaillie-Noël, J. A. Carrillo, T. Goudon +1
In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requ…
Magnetic Laplacian in sharp three dimensional cones
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff +1
The core result of this paper is an upper bound for the ground state energyof the magnetic Laplacian with constant magnetic field on cones that are contained in ahalf-space. This b…
Hasse principle for generalised Kummer varieties
Yonatan Harpaz, Alexei N. Skorobogatov
The existence of rational points on Kummer varieties associated to 2-coverings of abelian varieties over number fields can sometimes be proved through the variation of the Selmer g…
Liouville Quantum Gravity on the complex tori
François David, Rémi Rhodes, Vincent Vargas
In this paper, we construct Liouville Quantum Field Theory (LQFT) on the toroidal topology in the spirit of the 1981 seminal work by Polyakov. Our approach follows the construction…