Team, Visitors, External Collaborators
Overall Objectives
Research Program
Highlights of the Year
New Results
Partnerships and Cooperations
Dissemination
Bibliography
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Bibliography

Major publications by the team in recent years
[1]
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 ]
https://arxiv.org/abs/1803.11018
[2]
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.
[3]
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.
https://dx.doi.org/10.1137/15M1029047
[4]
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.
[5]
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.
https://link.aps.org/doi/10.1103/PhysRevLett.117.013901
[6]
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.
[7]
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.
https://doi.org/10.1007/s00220-015-2417-6
[8]
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.
https://doi.org/10.1137/130909081
[9]
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 ]
http://www.sciencedirect.com/science/article/pii/S029414491830026X
Publications of the year

Doctoral Dissertations and Habilitation Theses

[10]
P. Mennuni.
Traveling waves of the nonlocal Gross-Pitaevskii equation: analysis and simulations, Université de Lille, November 2019.
https://hal.archives-ouvertes.fr/tel-02395234
[11]
M. Simon.
Microscopic derivation of degenerated diffusion phenomena, Université de Lille, December 2019, Habilitation à diriger des recherches.
https://hal.inria.fr/tel-02399713

Articles in International Peer-Reviewed Journals

[12]
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 ]
https://hal.archives-ouvertes.fr/hal-01855678
[13]
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 ]
https://hal.archives-ouvertes.fr/hal-01242899
[14]
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 ]
https://hal.archives-ouvertes.fr/hal-01951527
[15]
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.
https://hal.archives-ouvertes.fr/hal-01710628
[16]
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.
https://hal.archives-ouvertes.fr/hal-01798051
[17]
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 ]
https://hal.archives-ouvertes.fr/hal-02367293
[18]
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 ]
https://hal.archives-ouvertes.fr/hal-01865597
[19]
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, https://arxiv.org/abs/1605.02523. [ DOI : 10.1007/s00205-018-1278-5 ]
https://hal.archives-ouvertes.fr/hal-01312534
[20]
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.
https://hal.archives-ouvertes.fr/hal-01954367
[21]
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 ]
https://hal.archives-ouvertes.fr/hal-01702545
[22]
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 ]
https://hal.archives-ouvertes.fr/hal-01948679
[23]
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.
https://hal.archives-ouvertes.fr/hal-01954454
[24]
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 ]
https://hal.archives-ouvertes.fr/hal-02399355
[25]
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.
https://hal.inria.fr/hal-02081200
[26]
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.
https://hal.archives-ouvertes.fr/hal-01954762
[27]
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, https://arxiv.org/abs/1812.08713.
https://hal.archives-ouvertes.fr/hal-01962779

Conferences without Proceedings

[28]
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.
https://hal.archives-ouvertes.fr/hal-02091672

Other Publications

[29]
R. Ahmed, C. Bernardin, P. Gonçalves, M. Simon.
A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor, October 2019, https://arxiv.org/abs/1910.03996 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02307963
[30]
O. Blondel, C. Erignoux, M. Sasada, M. Simon.
Hydrodynamic limit for a facilitated exclusion process, February 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02008606
[31]
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, https://arxiv.org/abs/1911.06016 - working paper or preprint.
https://hal.inria.fr/hal-02361814
[32]
P. Gonçalves, N. Perkowski, M. Simon.
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP, March 2019, https://arxiv.org/abs/1710.11011 - 69 pages.
https://hal.inria.fr/hal-01626604
[33]
A. Hardy, G. Lambert.
CLT for Circular beta-Ensembles at High Temperature, November 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02385025
[34]
A. Hertz, S. De Bièvre.
Quadrature coherence scale driven fast decoherence of bosonic quantum field states, December 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02394344
References in notes
[35]
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.
[36]
R. L. Jerrard, D. Smets.
On Schrödinger maps from T1 to S2, in: Ann. Sci. ENS, 2012, vol. 45, pp. 637-680.
[37]
D. Wei.
Micromagnetics and Recording Materials, Springer–Verlag Berlin Heidelberg, 2012, http://dx.doi.org/10.1007/978-3-642-28577-6.
https://doi.org/10.1007/978-3-642-28577-6
[38]
S. Zhang, A. A. Baker, S. Komineas, T. Hesjedal.
Topological computation based on direct magnetic logic communication, in: Scientific Reports, 2015, vol. 5.
http://dx.doi.org/10.1038/srep15773