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