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CONVERGENCE OF A QUANTUM NORMAL FORM AND AN EXACT QUANTIZATION FORMULA

Sandro Graffi , Thierry Paul
2011
Preprints, Working Papers, ... hal-00562634v1
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EMPIRICAL MEASURES AND QUANTUM MECHANICS: APPLICATION TO THE MEAN-FIELD LIMIT

François Golse , Thierry Paul
Communications in Mathematical Physics, 2019, 369 (3), pp.1021-1053. ⟨10.1007/s00220-019-03357-z⟩
Journal articles hal-01644950v1
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On the size of chaos in the mean field dynamics

Thierry Paul , Mario Pulvirenti , Sergio Simonella
Archive for Rational Mechanics and Analysis, 2018, 231, pp.285-317
Journal articles hal-01577284v5
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Asymptotic expansion of the mean-field approximation

Thierry Paul , Mario Pulvirenti
DCDS-A, 2020, 39 ((4)), pp.1891-1921
Journal articles hal-01579763v5
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Le Vierge, le vivace et le bel aujourd'hui : trois mouvements de la structure espace vu des équations différentielles

Thierry Paul
2011
Preprints, Working Papers, ... hal-00706276v1
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Dynamics of periodic Toda chains with a large number of particles

Dario Bambusi , Thomas Kappeler , Thierry Paul
Journal of Differential Equations, 2015, 258 (12), pp.4103-4490
Journal articles hal-00864330v1
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Strong phase-space semiclassical asymptotics

Thierry Paul , Agissilaos Athanassoulis
SIAM Journal on Mathematical Analysis, 2011, 43 (5), pp.2116-2149. ⟨10.1137/10078712X⟩
Journal articles hal-00496375v1
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INDETERMINISME QUANTIQUE ET IMPREDICTIBILITE CLASSIQUE

Thierry Paul
2010
Preprints, Working Papers, ... hal-00496384v1
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On the selection of the classical limit for potentials with BV derivatives

Agissilaos Athanassoulis , Thierry Paul
Journal of Dynamics and Differential Equations, 2013, 25 (1), pp.33-47
Journal articles hal-00662899v2
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Rayleigh-Schrödinger series and Birkhoff decomposition

Jean-Christophe Novelli , Thierry Paul , David Sauzin , Jean-Yves Thibon
Letters in Mathematical Physics, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
Journal articles hal-01351108v2
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Towards Optimal Transport for Quantum Densities

Emanuele Caglioti , François Golse , Thierry Paul
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, In press
Journal articles hal-01963667v2
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À propos des phrasés d'énoncés mathématiques

Thierry Paul
2010
Preprints, Working Papers, ... hal-00624895v1
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Toeplitz operators in TQFT via skein theory

Julien Marché , Thierry Paul
Transactions of the American Mathematical Society, 2015, 367 (3669-3704)
Journal articles hal-00612888v3
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Recovering the Hamiltonian from spectral data

Cyrille Heriveaux , Thierry Paul
Transactions of the American Mathematical Society, 2016, 368 (7239-7279)
Journal articles hal-00673107v5
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Semiclassical approximation and noncommutative geometry

Thierry Paul
2011
Preprints, Working Papers, ... hal-00617372v6
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Smoothed Affine Wigner Transform

Agissilaos Athanassoulis , Thierry Paul
Applied and Computational Harmonic Analysis, 2010, 28 (3), pp.313-319. ⟨10.1016/j.acha.2010.03.001⟩
Journal articles hal-00496372v1
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Le temps de la dynamique et la dynamique du temps

Thierry Paul
Hermann. Produire le temps, Hermann, 2014
Book sections hal-00809756v1
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Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile

Claude Bardos , François Golse , Peter Markowich , Thierry Paul
Archive for Rational Mechanics and Analysis, 2015, 217 (1), pp.71-111. ⟨10.1007/s00205-014-0829-7⟩
Journal articles hal-00706180v3
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Recent results in semiclassical approximation with rough potentials

Thierry Paul
Microlocal Methods in Mathematical Physics and Global Analysis, Jun 2011, Tubingen, Germany
Conference papers hal-00623921v1
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On the Classical Limit of the Schrödinger Equation

Claude Bardos , François Golse , Peter Markowich , Thierry Paul
Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (12), pp.5689-5709. ⟨10.3934/dcds.2015.35.5689⟩
Journal articles hal-01074071v1
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Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data

Luigi Ambrosio , Alessio Figalli , Gero Friesecke , Johannes Giannoulis , Thierry Paul
2010
Preprints, Working Papers, ... hal-00496369v1
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Observability for the Schrödinger Equation: an Optimal Transportation Approach

François Golse , Thierry Paul
Mathematical Models and Methods in Applied Sciences, In press, 32 (5)
Journal articles hal-03136861v1
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BOHMIAN MEASURES AND THEIR CLASSICAL LIMIT

Peter Markowich , Thierry Paul , Christof Sparber
2010
Preprints, Working Papers, ... hal-00496378v1
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Semi-classical Analysis of Spin Systems near Critical Energies

Pedro Ribeiro , Thierry Paul
2010
Preprints, Working Papers, ... hal-00496397v1
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ON SOME GEOMETRY OF PROPAGATION IN DIFFRACTIVE TIME SCALES

Christophe Cheverry , Thierry Paul
Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (2), pp.Pages: 499 - 538. ⟨10.3934/dcds.2012.32.499⟩
Journal articles hal-00514861v1
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Normalization in Lie algebras via mould calculus and applications

Thierry Paul , David Sauzin
Regular and Chaotic Dynamics, 2017, 22 (6), pp.616--649. ⟨10.1134/S1560354717060041⟩
Journal articles hal-01298047v2

Strong semiclassical approximation of Wigner functions for the Hartree dynamics.

Thierry Paul , Agissilaos Athanassoulis , Federica Pezzotti , Mario Pulvirenti
Rendiconti Lincei. Matematica e Applicazioni, 2011, 22 (4), pp.525-552. ⟨10.4171/RLM/613⟩
Journal articles hal-00851542v1
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HUSIMI, WIGNER, TÖPLITZ, QUANTUM STATISTICS AND ANTICANONICAL TRANSFORMATIONS

Thierry Paul
2022
Preprints, Working Papers, ... hal-02008709v2
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Rigueur-contraintes : mathématiques-musique

Thierry Paul
Gazette des Mathématiciens, 2014, 139, pp.71-77
Journal articles hal-00867275v2
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On the propagation of oceanic waves driven by a macroscopic current

Isabelle Gallagher , Thierry Paul , Laure Saint-Raymond
2010
Preprints, Working Papers, ... hal-00539026v1