238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
24 papers · 1 filter
Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit
Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann
We consider a Klein-Gordon equation (KG) on a Riemannian compact surface, for which the flow lets invariant the two dimensional space the solutions independent of the space variabl…
Random weighted Sobolev inequalities and application to quantum ergodicity
Didier Robert, Laurent Thomann
This paper is a continuation of Poiret-Robert-Thomann (2013) where we studied a randomisation method based on the Laplacian with harmonic potential. Here we extend our previous res…
Bilinear dispersive estimates via space-time resonances, part II: dimensions 2 and 3
Frederic Bernicot, Pierre Germain
Consider a bilinear interaction between two linear dispersive waves with a generic resonant structure (roughly speaking, space and time resonant sets intersect transversally). We d…
Symplectic embeddings into four-dimensional concave toric domains
Keon Choi, Daniel Cristofaro-Gardiner, David Frenkel +2
ECH capacities give obstructions to symplectically embedding one symplectic four-manifold with boundary into another. We compute the ECH capacities of a large family of symplectic…
Crossed modules of racks
Alissa S. Crans, Friedrich Wagemann
We generalize the notion of a crossed module of groups to that of a crossed module of racks. We investigate the relation to categorified racks, namely strict 2-racks, and trunk-lik…
Differential operators admitting various rates of spectral projection growth
Boris Mityagin, Petr Siegl, Joe Viola
We consider families of non-self-adjoint perturbations of self-adjoint harmonic and anharmonic oscillators. The norms of spectral projections of these operators are found to grow a…
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator
Aurélien Poiret, Didier Robert, Laurent Thomann
Thanks to an approach inspired from Burq-Lebeau \cite{bule}, we prove stochastic versions of Strichartz estimates for Schrödinger with harmonic potential. As a consequence, we show…
Amplification of pulses in nonlinear geometric optics
Jean-Francois Coulombel, Mark Williams
In this companion paper to our study of amplification of wavetrains, we study weakly stable semilinear hyperbolic boundary value problems with pulse data. Here weak stability means…
On finiteness properties of polynomial functors
Aurélien Djament
We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors from a small sy…
Weakly polynomial functors
Aurélien Djament, Christine Vespa
We introduce and study a general notion of polynomial functor from a small monoidal symmetric category whose unit is an initial object and give a classification result of polynomia…
The Fourier transform of multiradial functions
Frederic Bernicot, Loukas Grafakos, Yandan Zhang
We obtain an exact formula for the Fourier transform of multiradial functions, i.e., functions of the form , , in terms of the…
A proof of Morse's theorem about the cancellation of critical points
Francois Laudenbach
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a pair of non-degenerate critical points of a smooth function. Our proof consists o…
Random weighted Sobolev inequalities on and application to Hermite functions
Aurélien Poiret, Didier Robert, Laurent Thomann
We extend a randomisation method, introduced by Shiffman-Zelditch and developed by Burq-Lebeau on compact manifolds for the Laplace operator, to the case of with the…
The Yamabe problem on Dirichlet spaces
Kazuo Akutagawa, Gilles Carron, Rafe Mazzeo
We continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem. In [3] the focus was on metri…
Aggregation and long memory: recent developments
Remigijus Leipus, Anne Philippe, Donata Puplinskaite +1
It is well-known that the aggregated time series might have very different properties from those of the individual series, in particular, long memory. At the present time, aggregat…
A combined finite volume--nonconforming finite element scheme for compressible two phase flow in porous media
Bilal Saad, Mazen Saad
We propose and analyze a combined finite volume--nonconforming finite element scheme on general meshes to simulate the two compressible phase flow in porous media. The diffusion te…
Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase
P. Carmona, G. B. Nguyen, N. Pétrélis
In this paper, we investigate a model for a dimensional self-interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction…
Restriction estimates via the derivatives of the heat semigroup and connexion with dispersive estimates
Frederic Bernicot, El Maati Ouhabaz
We consider an abstract non-negative self-adjoint operator on an -space. We derive a characterization for the restriction estimate $\| dE_H(λ) \|_{L^p \to L^{p'}} \le C λ^…
K-stability and parabolic stability
Yann Rollin
Parabolic structures with rational weights encode certain iterated blowups of geometrically ruled surfaces. In this paper, we show that the three notions of parabolic polystability…
On the global well-posedness for Euler equations with unbounded vorticity
Frederic Bernicot, Taoufik Hmidi
In this paper, we are interested in the global persistence regularity for the 2D incompressible Euler equations in some function spaces allowing unbounded vorticities. More precise…
Elimination of extremal index zeroes from generic paths of closed 1-forms
Carlos Moraga Ferrandiz
Let be a Morse closed -form of a smooth -dimensional manifold . The zeroes of of index or are called \emph{centers}. It is known that every non-vanishing d…
On algebraic structures of the Hochschild complex
Hossein Abbaspour
We first review various known algebraic structures on the Hochschild (co)homology of a differential graded algebras under weak Poincar{é} duality hypothesis, such as Calabi-Yau alg…
Contemporaneous aggregation of triangular array of random-coefficient AR(1) processes
Anne Philippe, Donata Puplinskaite, Donatas Surgailis
We discuss contemporaneous aggregation of independent copies of a triangular array of random-coefficient AR(1) processes with i.i.d. innovations belonging to the domain of attracti…
The Gauß-Bonnet operator of an infinite graph
Colette Anné, Nabila Torki-Hamza
We propose a general condition, to ensure essential self-adjointness for the Gauß-Bonnet operator, based on a notion of completeness as Chernoff. This gives essential self-adjointn…