Nicolas Rougerie

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Publications

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Invariant Gibbs measures for 1D NLS in a trap

van Duong Dinh , Nicolas Rougerie

Annales de l'Institut Fourier, In press

Article dans une revue hal-03926436v3
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Blow-up of 2D attractive Bose-Einstein condensates at the critical rotational speed

Van Duong Dinh , Dinh-Thi Nguyen , Nicolas Rougerie

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2023, ⟨10.4171/AIHPC/94⟩

Article dans une revue hal-03752950v3
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Dimensional reduction for a system of 2D anyons

Nicolas Rougerie , Qiyun Yang

Annales Henri Poincaré, In press, ⟨10.1007/s00023-024-01417-2⟩

Article dans une revue hal-04094099v2
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A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS

Théotime Girardot , Nicolas Rougerie

Letters in Mathematical Physics, 2023, 113, pp.6. ⟨10.1007/s11005-022-01627-x⟩

Article dans une revue hal-03769548v3
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Anyons in a tight wave-guide and the Tonks-Girardeau gas

Nicolas Rougerie , Qiyun Yang

SciPost Physics Core, In press, ⟨10.21468/SciPostPhysCore.6.4.079⟩

Article dans une revue hal-03947321v3
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Quantum statistics transmutation via magnetic flux attachment

Gaultier Lambert , Douglas Lundholm , Nicolas Rougerie

Probability and Mathematical Physics, In press, ⟨10.2140/pmp.2023.4.803⟩

Article dans une revue hal-03524103v1
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Bosons in a double well: two-mode approximation and fluctuations

Alessandro Olgiati , Nicolas Rougerie , Dominique Spehner

Analysis & PDE, 2023, 16 (8), pp.1885-1954. ⟨10.2140/apde.2023.16.1885⟩

Article dans une revue hal-03117990v3
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Thomas-Fermi profile of a fast rotating Bose-Einstein condensate

Dinh-Thi Nguyen , Nicolas Rougerie

Pure and Applied Analysis, 2022, 4 (3), pp.535-569. ⟨10.2140/paa.2022.4.535⟩

Article dans une revue hal-03522207v2

Semiclassical Limit for Almost Fermionic Anyons

Théotime Girardot , Nicolas Rougerie

Commun.Math.Phys., 2021, 387 (1), pp.427-480. ⟨10.1007/s00220-021-04164-1⟩

Article dans une revue hal-03129551v1
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The Hartree functional in a double well

Alessandro Olgiati , Nicolas Rougerie

Journal of Spectral Theory, 2021, 11 (4), pp.1727-1778. ⟨10.4171/jst/385⟩

Article dans une revue hal-02558586v4
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Classical field theory limit of many-body quantum Gibbs states in 2D and 3D

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Inventiones Mathematicae, 2021, 224, pp.315-444. ⟨10.1007/s00222-020-01010-4⟩

Article dans une revue hal-01898563v6
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Non linear Schrödinger limit of bosonic ground states, again

Nicolas Rougerie

Confluentes Mathematici, 2020, 12 (1), pp.69-91

Article dans une revue hal-01994870v2

Quantum impurity model for anyons

Enderalp Yakaboylu , Areg Ghazaryan , Douglas Lundholm , Nicolas Rougerie , Mikhail Lemeshko et al.

Phys.Rev.B, 2020, 102 (14), pp.144109. ⟨10.1103/PhysRevB.102.144109⟩

Article dans une revue hal-02449089v1
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Improved stability for 2D attractive Bose gases

Phan Thành Nam , Nicolas Rougerie

Journal of Mathematical Physics, 2020, 61, pp.021901

Article dans une revue hal-02291672v2
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A Quantum Impurity Model for Anyons

E Yakaboylu , A Ghazaryan , D Lundholm , Nicolas Rougerie , M Lemeshko et al.

Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2020, 102 (14)

Article dans une revue hal-02417319v1
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Scaling limits of bosonic ground states, from many-body to nonlinear Schrödinger

Nicolas Rougerie

EMS Surveys in Mathematical Sciences, 2020, 7 (2), pp. 253-408

Article dans une revue hal-02468885v2
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Stability of the Laughlin phase against long-range interactions

Alessandro Olgiati , Nicolas Rougerie

Archive for Rational Mechanics and Analysis, 2020, 237, pp.1475-1515

Article dans une revue hal-02153307v2
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Holomorphic quantum Hall states in higher Landau levels

Nicolas Rougerie , Jakob Yngvason

Journal of Mathematical Physics, 2020, 61, pp.041101

Article dans une revue hal-02420945v3
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On two properties of the Fisher information

Nicolas Rougerie

Kinetic and Related Models , 2020, 14 (1), pp.77-88

Article dans une revue hal-02397359v3
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On the stability of 2D dipolar Bose-Einstein condensates

Arnaud Eychenne , Nicolas Rougerie

SIAM Journal on Mathematical Analysis, 2019, 51 (2), ⟨10.1137/18M1216663⟩

Article dans une revue hal-01875565v3

Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Journal of Mathematical Physics, 2019, 60 (6), pp.061901. ⟨10.1063/1.5094331⟩

Article dans une revue hal-02144018v1
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Local incompressibility estimates for the Laughlin phase

Elliott H Lieb , Nicolas Rougerie , Jakob Yngvason

Communications in Mathematical Physics, 2019, ⟨10.1007/s00220-018-3181-1⟩

Article dans une revue hal-01449817v3
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Vortex patterns in the almost-bosonic anyon gas

Michele Correggi , Romain Duboscq , Douglas Lundholm , Nicolas Rougerie

EPL - Europhysics Letters, 2019, ⟨10.1209/0295-5075/126/20005⟩

Article dans une revue hal-01997590v2
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On the Laughlin function and its perturbations

Nicolas Rougerie

Seminaire X-EDP, 2019, ⟨10.5802/slsedp.131⟩

Article dans une revue hal-02165769v2
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Interacting bosons in a double-well potential : localization regime

Nicolas Rougerie , Dominique Spehner

Communications in Mathematical Physics, 2018, 361 (2), pp.737-786. ⟨10.1007/s00220-018-3156-2⟩

Article dans une revue hal-01417039v4
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Rigidity of the Laughlin liquid

Elliott H Lieb , Nicolas Rougerie , Jakob Yngvason

Journal of Statistical Physics, 2018, ⟨10.1007/s10955-018-2082-1⟩

Article dans une revue hal-01364206v5
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Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Journal of Mathematical Physics, 2018, 59, pp.041901. ⟨10.1063/1.5026963⟩

Article dans une revue hal-01496137v2
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The Laughlin liquid in an external potential

Nicolas Rougerie , Jakob Yngvason

Letters in Mathematical Physics, 2018, ⟨10.1007/s11005-017-1020-5⟩

Article dans une revue hal-01562107v2
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Universal and shape dependent features of surface superconductivity

Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, ⟨10.1140/epjb/e2017-80498-3⟩

Article dans une revue hal-01531877v2
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A note on 2D focusing many-boson systems

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Proceedings of the American Mathematical Society, 2017, 145 (6), pp.2441-2454. ⟨10.1090/proc/13468⟩

Article dans une revue hal-01205889v2

Indiscernabilité et indépendance en physique statistique

Nicolas Rougerie

Images des mathématiques, 2017, ⟨10.60868/prc3-ga43⟩

Article dans une revue hal-05534309v1
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Local density approximation for the almost-bosonic anyon gas

Michele Correggi , Douglas Lundholm , Nicolas Rougerie

Analysis & PDE, 2017, ⟨10.2140/apde.2017.10.1169⟩

Article dans une revue hal-01391205v3
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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Transactions of the American Mathematical Society, 2016, 368 (9), pp.6131-6157. ⟨10.1090/tran/6537⟩

Article dans une revue hal-00990051v3
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Derivation of nonlinear Gibbs measures from many-body quantum mechanics

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Journal de l'École polytechnique — Mathématiques, 2015, 2, pp.65-115. ⟨10.5802/jep.18⟩

Article dans une revue hal-01070599v3
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Derivation of Hartree's theory for generic mean-field Bose systems

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Advances in Mathematics, 2014, 254, pp.570-621. ⟨10.1016/j.aim.2013.12.010⟩

Article dans une revue hal-00796683v4
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On the binding of polarons in a mean-field quantum crystal

Mathieu Lewin , Nicolas Rougerie

ESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (3), pp.629--656. ⟨10.1051/cocv/2012025⟩

Article dans une revue hal-00673045v3
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Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates

Michele Correggi , Nicolas Rougerie

Communications in Mathematical Physics, 2013, 321 (3), pp.817-860. ⟨10.1007/s00220-013-1697-y⟩

Article dans une revue hal-00696092v4
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Sur la modélisation de l'interaction entre polarons et cristaux quantiques

Nicolas Rougerie

Séminaire Laurent Schwartz - EDP et applications, 2013, Exposé n° 7, année 2012-2013

Article dans une revue hal-00829053v1
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Quantum Hall states of bosons in rotating anharmonic traps

Nicolas Rougerie , Jakob Yngvason , Sylvia Serfaty

Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2013, 87, pp.023618

Article dans une revue hal-00761543v3
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Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates

Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

European Journal of Physics, 2013, 217, pp.183--188

Article dans une revue hal-00745668v1
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Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystals

Mathieu Lewin , Nicolas Rougerie

SIAM Journal on Mathematical Analysis, 2013, 45 (3), pp.1267--1301. ⟨10.1137/110846312⟩

Article dans une revue hal-00617688v1
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The interacting 2D Bose gas and nonlinear Gibbs measures

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Gibbs measures for nonlinear dispersive equations, Giuseppe Genovese, Benjamin Schlein and Vedran Sohinger, Apr 2018, Oberwolfach (Germany), Germany. p. 1088, ⟨10.4171/OWR/2018/18⟩

Communication dans un congrès hal-01784153v1
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The classical Jellium and the Laughlin phase

Nicolas Rougerie

EMS press. The Physics and Mathematics of Elliott Lieb, EMS press, 2022, 978-3-98547-019-8

Chapitre d'ouvrage hal-03605971v1
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Blow-up profile of rotating 2D focusing Bose gases

Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Daniela Cadamuro, Maximilian Duell, Wojciech Dybalski and Sergio Simonella. Macroscopic Limits of Quantum Systems, 270, Springer International Publishing, pp.145-170, 2018, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-01602-9_7⟩

Chapitre d'ouvrage hal-01700668v2
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Magnetic Thomas-Fermi theory for 2D abelian anyons

Antoine Levitt , Douglas Lundholm , Nicolas Rougerie

2026

Pré-publication, Document de travail hal-05037710v2
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Gyrokinetic limit of the 2D Hartree equation in a large magnetic field

Denis Périce , Nicolas Rougerie

2025

Pré-publication, Document de travail hal-04523429v3
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Free-energy variations for determinantal 2D plasmas with holes

Nicolas Rougerie

2025

Pré-publication, Document de travail hal-05290386v2
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The 2D Chern-Simons-Schrödinger system reduced to 1D

Nicolas Rougerie , Qiyun Yang

2026

Pré-publication, Document de travail hal-05226419v2
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$\Phi^4_2$ theory limit of a many-body bosonic free energy

Lucas Jougla , Nicolas Rougerie

2025

Pré-publication, Document de travail hal-05409978v1
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From bosonic canonical ensembles to non-linear Gibbs measures

van Duong Dinh , Nicolas Rougerie

2024

Pré-publication, Document de travail hal-04843065v1
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Statistical mechanics of the radial focusing nonlinear Schrödinger equation in general traps

Van Duong Dinh , Nicolas Rougerie , Leonardo Tolomeo , Yuzhao Wang

2023

Pré-publication, Document de travail hal-04331356v1
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SEMICLASSICAL LIMIT FOR ALMOST FERMIONIC ANYONS

Théotime Girardot , Nicolas Rougerie

2021

Pré-publication, Document de travail hal-03106991v4
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GROUND STATES OF LARGE BOSONIC SYSTEMS: THE GROSS-PITAEVSKII LIMIT REVISITED

Phan Thành Nam , Nicolas Rougerie , Robert Seiringer

2015

Pré-publication, Document de travail hal-01134985v3
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THE AVERAGE FIELD APPROXIMATION FOR ALMOST BOSONIC EXTENDED ANYONS

Douglas Lundholm , Nicolas Rougerie

2015

Pré-publication, Document de travail hal-01154398v3
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FROM BOSONIC GRAND-CANONICAL ENSEMBLES TO NONLINEAR GIBBS MEASURES

Nicolas Rougerie

2015

Pré-publication, Document de travail hal-01171867v1
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The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein Condensate

Michele Correggi , Nicolas Rougerie , Jakob Yngvason

2010

Pré-publication, Document de travail hal-00517386v1
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Some contributions to many-body quantum mathematics

Nicolas Rougerie

Mathematical Physics [math-ph]. Université Grenoble-Alpes, 2016

HDR tel-01394670v1