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