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