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35P25 Quantum Electrodynamics Wigner-Kirkwood expansion Approximate controllability Molecular Hamiltonian Nonequilibrium statistical mechanics Heat kernel Analytic elliptic regularity Additive functionals Comparison principle Random Schrödinger operators Parametric inference 35Q30 Gaussian processes Borel summation Exponential mixing Quantum mechanics Electronic reduced density matrices Stationary measures Analyse numérique Electronic reduced densities Mourre theory AR-ARCH Random Field Secondary 58J50 Dirac operator Asymptotic expansion Thermodynamic limit Schrödinger operators Gibbs measure Nummelin splitting Nonlinear wave equation Navier–Stokes system Pairing Ergodicity Piecewise deterministic Markov processes 65N38 Boundary integral method Haar series Hartree-Fock-Bogoliubov 60F05 Boundary element method Anisotropic Calderón problem Weak solutions Hawkes processes Charge renormalization Magnetostatic Markov process Numerical analysis Scattering theory Coulomb potential Oracle inequalities Semi-classical Hartree-Fock model Ginzburg–Landau equation 76D05 Fully nonlinear equations Blow-up Vacuum polarization Inequality constraints 30F30 Continuous time Markov processes Nonlinear Schrödinger equation Global solutions Finite element method Navier-Stokes system Reconstruction Maxwell's equations Dirac sea Spectral theory 32A55 Central limit theorem Quantum physics Quantum transport Inverse problem Renormalization Inverse scattering Occupation measures Stability 2010 Mathematics Subject Classification Primaries 81U40 White noise Analysis of PDEs mathAP Weak dependence Large deviations Analytic regularity molecular Hamiltonian electronic reduced densities electronic reduced density matrices Coulomb potential Kustaanheimo-Stiefel transform Electronic structure Invariant measures Nonparametric estimation Limite thermodynamique Entropy production Harris recurrence Random data Spectral analysis Analytic regularity Burgers equation Scattering problem FOS Mathematics Stationary measure Appariement Mixing Inverse problems