Team, Visitors, External Collaborators
Overall Objectives
Research Program
Highlights of the Year
New Results
Partnerships and Cooperations
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Major publications by the team in recent years
C. Beltrán, A. Hardy.
Energy of the Coulomb gas on the sphere at low temperature, in: Archive for Rational Mechanics and Analysis, 2019, vol. 231, pp. 2007-2017. [ DOI : 10.1007/s00205-018-1316-3 ]
C. Bernardin, P. Gonçalves, M. Jara, M. Simon.
Interpolation process between standard diffusion and fractional diffusion, in: Annales de l'IHP, Probabilités et Statistiques, 2018, vol. 54, no 3, pp. 1731–1757.
C. Besse, G. Dujardin, I. Lacroix-Violet.
High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose–Einstein Condensates, in: SIAM Journal on Numerical Analysis, 2017, vol. 55, no 3, pp. 1387-1411.
D. Chafaï, A. Hardy, M. Maïda.
Concentration for Coulomb gases and Coulomb transport inequalities, in: Journal of Functional Analysis, 2018, vol. 275, no 6, pp. 1447-1483.
M. Conforti, A. Mussot, A. Kudlinski, S. Rota Nodari, G. Dujardin, S. De Bièvre, A. Armaroli, S. Trillo.
Heteroclinic Structure of Parametric Resonance in the Nonlinear Schrödinger Equation, in: Phys. Rev. Lett., Jun 2016, vol. 117, 013901 p.
T. Franco, P. Gonçalves, M. Simon.
Crossover to the stochastic Burgers equation for the WASEP with a slow bond, in: Communications in Mathematical Physics, 2016, vol. 346, no 3, pp. 801–838.
M. Jara, T. Komorowski, S. Olla.
Superdiffusion of Energy in a Chain of Harmonic Oscillators with Noise, in: Communications in Mathematical Physics, Oct 2015, vol. 339, no 2, pp. 407–453.
A. de Laire.
Minimal Energy for the Traveling Waves of the Landau–Lifshitz Equation, in: SIAM Journal on Mathematical Analysis, 2014, vol. 46, no 1, pp. 96-132.
A. de Laire, P. Gravejat.
The Sine–Gordon regime of the Landau–Lifshitz equation with a strong easy-plane anisotropy, in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018. [ DOI : 10.1016/j.anihpc.2018.03.005 ]
Publications of the year

Doctoral Dissertations and Habilitation Theses

P. Mennuni.
Traveling waves of the nonlocal Gross-Pitaevskii equation: analysis and simulations, Université de Lille, November 2019.
M. Simon.
Microscopic derivation of degenerated diffusion phenomena, Université de Lille, December 2019, Habilitation à diriger des recherches.

Articles in International Peer-Reviewed Journals

R. Bardenet, A. Hardy.
Time-frequency transforms of white noises and Gaussian analytic functions, in: Applied and Computational Harmonic Analysis, 2019, forthcoming. [ DOI : 10.1016/j.acha.2019.07.003 ]
A. Benoit.
Geometric optics expansions for hyperbolic corner problems II : from weak stability to violent instability, in: SIAM Journal on Mathematical Analysis, 2019, vol. 49, no 5, pp. 3335–3395, forthcoming. [ DOI : 10.1137/16M1060145 ]
C. Besse, S. Descombes, G. Dujardin, I. Lacroix-Violet.
Energy preserving methods for nonlinear Schrödinger equations, in: IMA Journal of Numerical Analysis, 2019, forthcoming. [ DOI : 10.1016/j.apnum.2019.11.008 ]
O. Blondel, C. Cancès, M. Sasada, M. Simon.
Convergence of a Degenerate Microscopic Dynamics to the Porous Medium Equation, in: Annales de l'Institut Fourier, 2019, forthcoming.
O. Blondel, C. Erignoux, M. Sasada, M. Simon.
Hydrodynamic limit for a facilitated exclusion process, in: Annales de l'IHP - Probabilités et Statistiques, 2019, forthcoming.
D. Bonheure, J.-B. Casteras, T. Gou, L. Jeanjean.
Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime, in: Transactions of the American Mathematical Society, March 2019, vol. 372, no 3, pp. 2167-2212. [ DOI : 10.1090/tran/7769 ]
S. De Bièvre, D. B. Horoshko, G. Patera, M. I. Kolobov.
Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity, in: Physical Review Letters, February 2019. [ DOI : 10.1103/PhysRevLett.122.080402 ]
S. De Bièvre, S. Rota Nodari.
Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups, in: Archive for Rational Mechanics and Analysis, January 2019, vol. 231, no 1, pp. 233-284, [ DOI : 10.1007/s00205-018-1278-5 ]
D. Dereudre, A. Hardy, T. Leblé, M. Maïda.
DLR equations and rigidity for the Sine-beta process, in: Communications on Pure and Applied Mathematics, 2019, forthcoming.
G. Dujardin, F. Hérau, P. Lafitte-Godillon.
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker- Planck equations, in: Numerische Mathematik, 2019, forthcoming. [ DOI : 10.1007/s00211-019-01094-y ]
S. Gutiérrez, A. de Laire.
The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions, in: Nonlinearity, 2019, vol. 32, no 7, pp. 2522-2563. [ DOI : 10.1088/1361-6544/ab1296 ]
W. Hachem, A. Hardy, S. Shamai.
Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators, in: IEEE Transactions on Information Theory, November 2019, vol. 65, no 11.
D. Horoshko, S. De Bièvre, G. Patera, M. I. Kolobov.
Thermal-difference states of light: Quantum states of heralded photons, in: Physical Review A, November 2019, vol. 100, no 5. [ DOI : 10.1103/PhysRevA.100.053831 ]
T. Komorowski, S. Olla, M. Simon.
An open microscopic model of heat conduction: evolution and non-equilibrium stationary states, in: Communications in Mathematical Sciences, 2019, forthcoming.
A. de Laire, P. Gravejat.
The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy, in: Revista Matemática Iberoamericana, 2019, forthcoming.
A. de Laire, P. Mennuni.
Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity, in: Discrete and Continuous Dynamical Systems - Series A, January 2020, vol. 40, no 1, pp. 635-682,

Conferences without Proceedings

R. Bardenet, P. Chainais, J. Flamant, A. Hardy.
A correspondence between zeros of time-frequency transforms and Gaussian analytic functions, in: 13th International Conference on Sampling Theory and Applications, SampTA 2019, Bordeaux, France, August 2019.

Other Publications

R. Ahmed, C. Bernardin, P. Gonçalves, M. Simon.
A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor, October 2019, - working paper or preprint.
O. Blondel, C. Erignoux, M. Sasada, M. Simon.
Hydrodynamic limit for a facilitated exclusion process, February 2019, working paper or preprint.
G. Dujardin, I. Lacroix-Violet.
High order linearly implicit methods for evolution equations: How to solve an ODE by inverting only linear systems, November 2019, - working paper or preprint.
P. Gonçalves, N. Perkowski, M. Simon.
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP, March 2019, - 69 pages.
A. Hardy, G. Lambert.
CLT for Circular beta-Ensembles at High Temperature, November 2019, working paper or preprint.
A. Hertz, S. De Bièvre.
Quadrature coherence scale driven fast decoherence of bosonic quantum field states, December 2019, working paper or preprint.
References in notes
I. Bejenaru, A. D. Ionescu, C. E. Kenig, D. Tataru.
Global Schrödinger maps in dimensions d2: small data in the critical Sobolev spaces, in: Annals of Mathematics, 2011, pp. 1443–1506.
R. L. Jerrard, D. Smets.
On Schrödinger maps from T1 to S2, in: Ann. Sci. ENS, 2012, vol. 45, pp. 637-680.
D. Wei.
Micromagnetics and Recording Materials, Springer–Verlag Berlin Heidelberg, 2012,
S. Zhang, A. A. Baker, S. Komineas, T. Hesjedal.
Topological computation based on direct magnetic logic communication, in: Scientific Reports, 2015, vol. 5.