Lambert, Gaultier; Lundholm, Douglas; Rougerie, Nicolas Quantum statistics transmutation via magnetic flux attachment. (English) Zbl 07774902 Probab. Math. Phys. 4, No. 4, 803-848 (2023). MSC: 81V70 PDFBibTeX XMLCite \textit{G. Lambert} et al., Probab. Math. Phys. 4, No. 4, 803--848 (2023; Zbl 07774902) Full Text: DOI arXiv
Girardot, Théotime; Rougerie, Nicolas Semiclassical limit for almost fermionic anyons. (English) Zbl 1476.81168 Commun. Math. Phys. 387, No. 1, 427-480 (2021). MSC: 81V72 81V10 82D05 81V27 81Q15 81Q20 81R30 PDFBibTeX XMLCite \textit{T. Girardot} and \textit{N. Rougerie}, Commun. Math. Phys. 387, No. 1, 427--480 (2021; Zbl 1476.81168) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas Classical field theory limit of many-body quantum Gibbs states in 2D and 3D. (English) Zbl 1467.82008 Invent. Math. 224, No. 2, 315-444 (2021). MSC: 82B10 81V70 35Q55 PDFBibTeX XMLCite \textit{M. Lewin} et al., Invent. Math. 224, No. 2, 315--444 (2021; Zbl 1467.82008) Full Text: DOI arXiv Link
Rougerie, Nicolas Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger. (English) Zbl 1472.35319 EMS Surv. Math. Sci. 7, No. 2, 253-408 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 35Q55 81V70 81V73 35-02 81-02 PDFBibTeX XMLCite \textit{N. Rougerie}, EMS Surv. Math. Sci. 7, No. 2, 253--408 (2020; Zbl 1472.35319) Full Text: DOI arXiv
Rougerie, Nicolas Non linear Schrödinger limit of bosonic ground states, again. (English) Zbl 1456.81492 Confluentes Math. 12, No. 1, 69-91 (2020). MSC: 81V70 35Q40 81P45 81V73 PDFBibTeX XMLCite \textit{N. Rougerie}, Confluentes Math. 12, No. 1, 69--91 (2020; Zbl 1456.81492) Full Text: DOI arXiv
Rougerie, Nicolas; Yngvason, Jakob Holomorphic quantum Hall states in higher Landau levels. (English) Zbl 1443.81064 J. Math. Phys. 61, No. 4, 041101, 16 p. (2020). MSC: 81V70 81V10 35J05 81Q05 82D20 35P05 32A10 PDFBibTeX XMLCite \textit{N. Rougerie} and \textit{J. Yngvason}, J. Math. Phys. 61, No. 4, 041101, 16 p. (2020; Zbl 1443.81064) Full Text: DOI arXiv
Olgiati, Alessandro; Rougerie, Nicolas Stability of the Laughlin phase against long-range interactions. (English) Zbl 1441.82019 Arch. Ration. Mech. Anal. 237, No. 3, 1475-1515 (2020). MSC: 82C22 82D05 82B20 81V70 81V10 49J53 26A33 35R11 PDFBibTeX XMLCite \textit{A. Olgiati} and \textit{N. Rougerie}, Arch. Ration. Mech. Anal. 237, No. 3, 1475--1515 (2020; Zbl 1441.82019) Full Text: DOI arXiv
Phan Thành Nam; Rougerie, Nicolas Improved stability for 2D attractive Bose gases. (English) Zbl 1439.81099 J. Math. Phys. 61, No. 2, 021901, 8 p. (2020). MSC: 81V73 81P16 81P15 35Q55 81Q10 82D05 PDFBibTeX XMLCite \textit{Phan Thành Nam} and \textit{N. Rougerie}, J. Math. Phys. 61, No. 2, 021901, 8 p. (2020; Zbl 1439.81099) Full Text: DOI arXiv
Rougerie, Nicolas On the Laughlin function and its perturbations. (English) Zbl 1496.35334 Sémin. Laurent Schwartz, EDP Appl. 2018-2019, Exp. No. 2, 17 p. (2019). MSC: 35Q40 81V70 26A33 PDFBibTeX XMLCite \textit{N. Rougerie}, Sémin. Laurent Schwartz, EDP Appl. 2018--2019, Exp. No. 2, 17 p. (2019; Zbl 1496.35334) Full Text: DOI arXiv
Eychenne, Arnaud; Rougerie, Nicolas On the stability of 2D dipolar Bose-Einstein condensates. (English) Zbl 1417.35177 SIAM J. Math. Anal. 51, No. 2, 1371-1386 (2019). MSC: 35Q55 35J10 PDFBibTeX XMLCite \textit{A. Eychenne} and \textit{N. Rougerie}, SIAM J. Math. Anal. 51, No. 2, 1371--1386 (2019; Zbl 1417.35177) Full Text: DOI arXiv
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob Local incompressibility estimates for the Laughlin phase. (English) Zbl 1410.82009 Commun. Math. Phys. 365, No. 2, 431-470 (2019). MSC: 82B30 81V70 82D10 35Q55 PDFBibTeX XMLCite \textit{E. H. Lieb} et al., Commun. Math. Phys. 365, No. 2, 431--470 (2019; Zbl 1410.82009) Full Text: DOI arXiv
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob Rigidity of the Laughlin liquid. (English) Zbl 1398.81326 J. Stat. Phys. 172, No. 2, 544-554 (2018). MSC: 81V70 81Q05 82D05 PDFBibTeX XMLCite \textit{E. H. Lieb} et al., J. Stat. Phys. 172, No. 2, 544--554 (2018; Zbl 1398.81326) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas A note on 2D focusing many-boson systems. (English) Zbl 1366.35150 Proc. Am. Math. Soc. 145, No. 6, 2441-2454 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 81V70 PDFBibTeX XMLCite \textit{M. Lewin} et al., Proc. Am. Math. Soc. 145, No. 6, 2441--2454 (2017; Zbl 1366.35150) Full Text: DOI arXiv
Rougerie, Nicolas From bosonic grand-canonical ensembles to nonlinear Gibbs measures. (English) Zbl 1353.35269 Sémin. Laurent Schwartz, EDP Appl. 2014-2015, Exp. No. 5, 17 p (2016). MSC: 35Q55 35Q40 81V70 PDFBibTeX XMLCite \textit{N. Rougerie}, Sémin. Laurent Schwartz, EDP Appl. 2014--2015, Exp. No. 5, 17 p (2016; Zbl 1353.35269) Full Text: DOI arXiv
Rougerie, Nicolas; Serfaty, Sylvia Higher-dimensional Coulomb gases and renormalized energy functionals. (English) Zbl 1338.82043 Commun. Pure Appl. Math. 69, No. 3, 519-605 (2016). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 PDFBibTeX XMLCite \textit{N. Rougerie} and \textit{S. Serfaty}, Commun. Pure Appl. Math. 69, No. 3, 519--605 (2016; Zbl 1338.82043) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. (English) Zbl 1392.35245 Trans. Am. Math. Soc. 368, No. 9, 6131-6157 (2016). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35Q40 PDFBibTeX XMLCite \textit{M. Lewin} et al., Trans. Am. Math. Soc. 368, No. 9, 6131--6157 (2016; Zbl 1392.35245) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas Derivation of nonlinear Gibbs measures from many-body quantum mechanics. (Dérivation de mesures de Gibbs non linéaires comme limites d’un modèle de mécanique quantique à \(N\) corps.) (English. French summary) Zbl 1322.81082 J. Éc. Polytech., Math. 2, 65-115 (2015). MSC: 81V70 35Q40 35Q55 82B30 81Q20 94A17 PDFBibTeX XMLCite \textit{M. Lewin} et al., J. Éc. Polytech., Math. 2, 65--115 (2015; Zbl 1322.81082) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas Derivation of Hartree’s theory for generic mean-field Bose systems. (English) Zbl 1316.81095 Adv. Math. 254, 570-621 (2014). MSC: 81V70 35Q40 82B10 PDFBibTeX XMLCite \textit{M. Lewin} et al., Adv. Math. 254, 570--621 (2014; Zbl 1316.81095) Full Text: DOI arXiv
Correggi, M.; Pinsker, F.; Rougerie, N.; Yngvason, J. Critical rotational speeds for superfluids in homogeneous traps. (English) Zbl 1278.82069 J. Math. Phys. 53, No. 9, 095203, 45 p. (2012). MSC: 82D50 82B27 76A25 76B47 PDFBibTeX XMLCite \textit{M. Correggi} et al., J. Math. Phys. 53, No. 9, 095203, 45 p. (2012; Zbl 1278.82069) Full Text: DOI arXiv