output
19962026
most citedDeterminantal point process models and statistical inference : Extended version

238 citations

Showing 2017 · math.APShow all

11 papers · 2 filters

math.AP2017★ 1 cited

On the Kramers-Fokker-Planck equation with decreasing potentials in dimension one

Radek Novak, Xue Ping Wang

For quickly decreasing potentials with one position variable, the first threshold zero is always a resonance of the Kramers-Fokker-Planck operator. In this article we study low-ene…

math.AP2017★ 3 cited

Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators

Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof

This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…

math.AP2017★ 17 cited

Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models

Frédéric Hérau

In this lectures given at the Morning side center of Mathematics in October 2016, we present in a very simple framework Hilbertian hypocoercive methods in the case of 1d kinetic in…

math.AP2017★ 11 cited

Stable and unstable time quasi periodic solutions for a system of coupled NLS equations

Benoît Grébert, Victor Vilaça da Rocha

We prove that a system of coupled nonlinear Schr{ö}dinger equations on the torus exhibits both stable and unstable small KAM tori. In particular the unstable tori are related to a…

math.AP2017★ 29 cited

Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off

Frédéric Hérau, Daniela Tonon, Isabelle Tristani

In this paper, we investigate the problems of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular cut-off. We only deal with the physic…

math.AP2017★ 12 cited

The density of superconductivity in domains with corners

Bernard Helffer, Ayman Kachmar

We compute the -norm of the minimizer of the Ginzburg-Landau functional in a planar domain with a finite number of corners. Our computations are valid for a uniform applied ma…

math.AP2017★ 3 cited

Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel

Frédéric Hérau, Daniela Tonon, Isabelle Tristani

We prove regularization properties in short time for inhomogeneous kinetic equations whose collision kernel behaves like a fractional power of the Laplacian in velocity. We treat a…

math.AP2017★ 6 cited

On Courant's nodal domain property for linear combinations of eigenfunctions, Part I

Pierre Bérard, Bernard Helffer

According to Courant's theorem, an eigenfunction as\-sociated with the -th eigenvalue has at most nodal domains. A footnote in the book of Courant and Hilbert, states…

math.AP2017★ 71 cited

Reducibility of the Quantum Harmonic Oscillator in -dimensions with Polynomial Time Dependent Perturbation

Dario Bambusi, Benoit Grebert, Alberto Maspero +1

We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree t…

math.AP2017★ 2 cited

On the hidden mechanism behind non-uniqueness for the anisotropic Calder{ó}n problem with data on disjoint sets

Thierry Daudé, Niky Kamran, Francois Nicoleau

We show that there is generically non-uniqueness for the anisotropic Calderón problem at fixed frequency when the Dirichlet and Neumann data are measured on disjoint sets of the bo…

math.AP2017

High-frequency approximation of the interior dirichlet-to-neumann map and applications to the transmission eigenvalues

Georgi Vodev

We study the high-frequency behavior of the Dirichlet-to-Neumann map for an arbitrary compact Riemannian manifold with a non-empty smooth boundary. We show that far from the real a…