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Paul, Thierry

  1. Quantum optimal transport is cheaper
    2019/08/01 by François Golse, Golse, François, Emanuele Caglioti +3 · 8 citations
    Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Information Theory (cs.IT) #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy
  2. Towards Optimal Transport for Quantum Densities
    2021/01/08 by Emanuele Caglioti, François Golse, Caglioti, Emanuele +3 · 8 citations
    Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
  3. Semiclassical limit for mixed states with singular and rough potentials
    2010/12/11 by Alessio Figalli, Figalli, Alessio, Marilena Ligabò +3 · 2 citations
    Mathematics · #Spectral Theory in Mathematical Physics #Advanced Mathematical Physics Problems #Gas Dynamics and Kinetic Theory
  4. On The Mean Field limit for Cucker-Smale models
    2020/11/25 by Natalini, Roberto, Paul, Thierry · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Mean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates
    2022/09/19 by Thierry Paul, Emmanuel Trélat, Paul, Thierry +1 · 3 citations
    Physics and Astronomy · Mathematics · #Advanced Thermodynamics and Statistical Mechanics #Theoretical and Computational Physics #Stochastic processes and statistical mechanics
  6. On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
    2019/06/09 by Golse, François, Jin, Shi, Paul, Thierry · 2 citations
    #65M15 #81Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
  7. Long time semiclassical approximation of quantum flows: a proof of the Ehrenfest time
    1998/05/19 by Dario Bambusi, Sandro Graffi, Bambusi, Dario +3 · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
  8. Mean-Field and Classical Limit for the N-Body Quantum Dynamics with Coulomb Interaction
    2019/12/14 by Golse, François, Paul, Thierry · 2 citations
    #35Q55 #35Q83 #82C05) #82C10 (35Q41 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  9. Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data
    2010/06/28 by Ambrosio, Luigi, Figalli, Alessio, Friesecke, Gero +2 · 1 citation
    #35L02 #35Q40 #35R05 #81S30 #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Semiclassical Evolution With Low Regularity
    2020/11/30 by François Golse, Golse, François, Thierry Paul +1 · 1 citation
    Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics
  11. Quantum and Semiquantum Pseudometrics and Applications
    2021/02/09 by Golse, François, Paul, Thierry · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Reflection of internal gravity waves in the form of quasi-axisymmetric beams
    2022/05/12 by Roberta Bianchini, Bianchini, Roberta, Thierry Paul +1 · 1 citation
    Earth and Planetary Sciences · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geophysics and Gravity Measurements #Mathematical Physics (math-ph) #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes
  13. The Mean-Field limit for hybrid models of collective motions with chemotaxis
    2021/07/30 by Natalini, Roberto, Paul, Thierry · 1 citation
    #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  14. Universal approximations of quasilinear PDEs by finite distinguishable particle systems
    2025/01/20 by Paul, Thierry, Trélat, Emmanuel · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics