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