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