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