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