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