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