Laboratoire de Mathématiques Jean Leray

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19962026

most citedDeterminantal point process models and statistical inference : Extended version

238 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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160 papers · 1 filter

math.AP2026

The plasma-wall dynamic: wellposedness

Mehdi Badsi, Bastien Grosse

We prove existence and uniqueness in BV for a Vlasov-Poisson boundary value problem which takes into account a nonlinear boundary condition at the boundary on the electric potentia…

math.AP2025

The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators

Horia D. Cornean, Bernard Helffer, Radu Purice

We study the structure of the fibre operators corresponding to periodic magnetic pseudo-differential operators having periodic magnetic potentials. We obtain explicit formulas for…

math.AP2025

On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System

D Han-Kwan, É Miot, A Moussa +1

We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the…

math.AP2025

Semiclassical limit of cubic nonlinear Schrödinger equations for mixed states

Daniel Han-Kwan, Frédéric Rousset

In this work, we study the semiclassical limit of cubic Nonlinear Schrödinger equations for mixed states. We justify the limit to a singular Vlasov equation (in which the force fie…

math.AP2025

Eyring-Kramers formula for the mean exit time of non-Gibbsian elliptic processes: the non characteristic boundary case

Dorian Le Peutrec, Laurent Michel, Boris Nectoux

In this work, we derive a new sharp asymptotic equivalent in the small temperature regime $h \to 0$ for the mean exit time from a bounded domain for the non-reversible process $dX\_…

math.AP2025

Exponential local energy decay of solutions to the wave equation with $L^{\infty}$ electric and magnetic potentials

Andrés Larraín-Hubach, Jacob Shapiro, Georgi Vodev

In this paper we prove sharp resolvent estimates for the magnetic Schrödinger operator in $R^{d}$ , $d \geq 3$ , with $L^{\infty}$ short-range electric and magnetic potentials. We…

math.AP2025

Almost global existence for Hamiltonian PDEs on compact manifolds

Dario Bambusi, Joackim Bernier, Benoît Grébert +1

We prove an abstract result of almost global existence of small solutions to semi-linear Hamiltonian partial differential equations satisfying very weak non resonance conditions an…

math.AP2025

Semiclassical Resolvent Estimates for the Magnetic Schr{Ö}dinger Operator

Georgi Vodev

We obtain semiclassical resolvent estimates for the Schr{ö}dinger operator (ih $\nabla$ + b)^2 + V in R^d , d $\geq$ 3, where h is a semiclassical parameter, V and b are real-valued…

math.AP2024

Global counterexamples to uniqueness for a Calderón problem with $C^{k}$ conductivities

Thierry Daudé, Bernard Helffer, Niky Kamran +1

Let $Ω \subset R^{n}$ , $n \geq 3$ , be a fixed smooth bounded domain, and let $γ$ be a smooth conductivity in $Ω$ . Consider a non-zero frequency $λ_{0}$ which does not belong to…

math.AP2024★ 1 cited

Trace formulas for the magnetic Laplacian and Dirichlet to Neumann operator -- Explicit expansions --

Bernard Helffer, François Nicoleau

Inspired by a recent paper of G. Liu and X. Tan (2023), we would like to measure how the magnetic effect appears in the heat trace formula associated with the magnetic Laplacian an…

math.AP2024

Nonlinear chaotic Vlasov equations

Yann Chaubet, Daniel Han-Kwan, Gabriel Rivière

In this article, we study nonlinear Vlasov equations with a smooth interaction kernel on a compact manifold without boundary where the geodesic flow exhibits strong chaotic behavio…

math.AP2024

Linear and Non linear stability for the kinetic plasma sheath on a bounded interval

Mehdi Badsi

Plasma sheaths are inhomogeneous stationary states that form when a plasma is in contact with an absorbing wall. We prove linear and non linear stability of a kinetic sheath statio…

math.AP2024

Spectral properties of the Kramers-Fokker-Planck operator with a long-range potential

Xue Ping Wang

We study real resonances and embedded eigenvalues of the Kramers--Fokker--Planck operator with a long-range potential. We prove that thresholds are only possible accumulation point…

math.AP2024

Stable factorization of the Calderón problem via the Born approximation

Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1

In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears…

math.AP2024★ 2 cited

Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori

Joackim Bernier, Nicolas Camps

We consider nonlinear Schrödinger equations on flat tori satisfying a simple and explicit Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term…

math.AP2024

Spectral analysis of a semiclassical random walk associated to a general confining potential

Thomas Normand

We consider a semiclassical random walk with respect to a probability measure associated to a potential with a finite number of critical points. We recover the spectral results fro…

math.AP2023★ 1 cited

Exponential stability of solutions to the Schr{ö}dinger-Poisson equation

Joackim Bernier, Nicolas Camps, Benoît Grébert +1

We prove an exponential stability result for the small solutions of the Schr{ö}dinger-Poisson equation on the circle without exterior parameters in Gevrey class. More precisely we…

math.AP2023

Spectral asymptotics and metastability for the linear relaxation Boltzmann equation

Thomas Normand

We consider the linear relaxation Boltzmann equation in a semiclassical framework. We construct a family of sharp quasimodes for the associated operator which yields sharp spectral…

math.AP2023

Transmission eigenvalue-free regions near the real axis in the anisotropic case

Georgi Vodev

We consider the anisotropic interior transmission problem with one complex-valued refraction index. Under the condition that all geodesics reach the boundary in a finite time, we o…

math.AP2023

Quantum limits of perturbed sub-Riemannian contact Laplacians in dimension 3

Victor Arnaiz, Gabriel Rivière

On the unit tangent bundle of a compact Riemannian surface, we consider a natural sub-Riemannian Laplacian associated with the canonical contact structure. In the large eigenvalue…

math.AP2023

Dynamics of quintic nonlinear Schr{ö}dinger equations in $H^{2/5 +} (T)$

Joackim Bernier, Benoît Grébert, Tristan Robert

In this paper, we succeed in integrating Strichartz estimates (encoding the dispersive effects of the equations) in Birkhoff normal form techniques. As a consequence, we deduce a r…

math.AP2023

Interior transmission problems with coefficients of low regularity

Georgi Vodev

We obtain parabolic transmission eigenvalue-free regions for both isotropic andanisotropic interior transmission problems with coefficients which are Lipschitznear the boundary

math.AP2023

Length orthospectrum and the correlation function on flat tori

Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière

This note presents some of the results obtained in arXiv:2207.05410 and it has beenthe object of a talk of the second author during the Journées "Équations auxDérivées Partielles"…

math.AP2022★ 4 cited

Matrix representation of Magnetic pseudo-differential operators via tight Gabor frames

Horia D. Cornean, Bernard Helffer, Radu Purice

In this paper we use some ideas from \cite{FG-97, G-06} and consider the description of Hörmander type pseudo-differential operators on $R^{d}$ ( $d \geq 1$ ), including the cas…

The plasma-wall dynamic: wellposedness

The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators

On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System

Semiclassical limit of cubic nonlinear Schrödinger equations for mixed states

Eyring-Kramers formula for the mean exit time of non-Gibbsian elliptic processes: the non characteristic boundary case

Exponential local energy decay of solutions to the wave equation with L∞ electric and magnetic potentials

Almost global existence for Hamiltonian PDEs on compact manifolds

Semiclassical Resolvent Estimates for the Magnetic Schr{Ö}dinger Operator

Global counterexamples to uniqueness for a Calderón problem with Ck conductivities

Trace formulas for the magnetic Laplacian and Dirichlet to Neumann operator -- Explicit expansions --

Nonlinear chaotic Vlasov equations

Linear and Non linear stability for the kinetic plasma sheath on a bounded interval

Spectral properties of the Kramers-Fokker-Planck operator with a long-range potential

Stable factorization of the Calderón problem via the Born approximation

Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori

Spectral analysis of a semiclassical random walk associated to a general confining potential

Exponential stability of solutions to the Schr{ö}dinger-Poisson equation

Spectral asymptotics and metastability for the linear relaxation Boltzmann equation

Transmission eigenvalue-free regions near the real axis in the anisotropic case

Quantum limits of perturbed sub-Riemannian contact Laplacians in dimension 3

Dynamics of quintic nonlinear Schr{ö}dinger equations in H2/5+(T)

Interior transmission problems with coefficients of low regularity

Length orthospectrum and the correlation function on flat tori

Matrix representation of Magnetic pseudo-differential operators via tight Gabor frames

Exponential local energy decay of solutions to the wave equation with $L^{\infty}$ electric and magnetic potentials

Global counterexamples to uniqueness for a Calderón problem with $C^{k}$ conductivities

Dynamics of quintic nonlinear Schr{ö}dinger equations in $H^{2/5 +} (T)$