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