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