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Arnaud Triay

Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime
2022 · Phan Thành Nam, Marcin Napiórkowski, et al. · Analysis & PDE · 40
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Bogoliubov excitation spectrum of trapped Bose gases in the Gross–Pitaevskii regime
2023 · Phan Thành Nam, Arnaud Triay · Journal de Mathématiques Pures et Appliquées · 33
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Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
2022 · Christian Hainzl, Benjamin Schlein, et al. · Forum of Mathematics Sigma · 27
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Derivation of the Dipolar Gross--Pitaevskii Energy
2018 · Arnaud Triay · SIAM Journal on Mathematical Analysis · 18
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The condensation of a trapped dilute Bose gas with three-body interactions
2023 · Phan Thành Nam, Julien Ricaud, et al. · Probability and Mathematical Physics · 15
Ground state energy of the low density Bose gas with three-body interactions
2022 · Phan Thành Nam, Julien Ricaud, et al. · Journal of Mathematical Physics · 13
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Dilute Bose gas with three-body interaction: Recent results and open questions
2022 · Phan Thành Nam, Julien Ricaud, et al. · Journal of Mathematical Physics · 11
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Semi-classical limit of large fermionic systems at positive temperature
2019 · Mathieu Lewin, Peter S. Madsen, et al. · Journal of Mathematical Physics · 9
Semi-classical limit of large fermionic systems at positive temperature
2019 · Lewin, Mathieu, Madsen, Peter, et al. · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 9
The Scott Correction in Dirac–Fock Theory
2020 · Søren Fournais, Mathieu Lewin, et al. · Communications in Mathematical Physics · 8
The Scott correction in Dirac-Fock theory
2019 · Fournais, Søren, Lewin, Mathieu, et al. · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 7
The free energy of dilute Bose gases at low temperatures
2023 · Haberberger, Florian, Hainzl, Christian, et al. · arXiv (Cornell University) · 5
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Upper bound for the free energy of dilute Bose gases at low temperature
2026 · Florian Haberberger, Christian Hainzl, et al. · Advances in Mathematics · 3
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The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime
2025 · Jonas Lampart, Arnaud Triay · Archive for Rational Mechanics and Analysis · 3
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Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
2022 · Hainzl, Christian, Schlein, Benjamin, et al. · Zurich Open Repository and Archive (University of Zurich) · 3
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Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction
2019 · Triay, Arnaud · arXiv (Cornell University) · 3
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Mean Field Limits in Quantum Mechanics
2019 · Arnaud Triay · 1
Derivation of the time-dependent Gross-Pitaevskii equation for the dipolar gases
2019 · Triay, Arnaud · arXiv (Cornell University) · 1
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Stability of attractive 3D Bose gases with repulsive three-body interactions
2026 · Triay, Arnaud, Visconti, François L. A. · arXiv (Cornell University)
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On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
2026 · Lukas Reichmann, Arnaud Triay · Reviews in Mathematical Physics
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The Free Energy of Dilute Bose Gases at Low Temperatures Interacting Via Strong Potentials
2026 · S. Fournais, L. Junge, et al. · Annales Henri Poincaré
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Derivation of the 3D quintic Gross--Pitaevskii equation
2026 · Triay, Arnaud, Visconti, François L. A. · arXiv (Cornell University)
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Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
2025 · Jonas Lampart, Arnaud Triay · Physical Review A
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Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
2024 · Haberberger, Florian, Hainzl, Christian, et al. · arXiv (Cornell University)
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Limites de champ moyen en mecanique quantique
2019 · Arnaud Triay · HAL
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Works count: 25
Citation count: 209
H-index: 9
I10-index: 7
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