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