Two-phase flows Schrödinger operator Shallow-water equations Homologie des groupes Statistique Courant theorem Quantum cohomology Cohomology Scattering data Smoothing effect Hyperbolic system Inverse scattering Aggregation Well-balanced schemes Semiclassical analysis Finite volumes Asymptotic preserving schemes Inverse problems Spectrum Bayesian modelling Foliations Chronologie Heat semigroup Moving steady states Céramique Modélisation Spectral theory Parametric estimation Analyse semi-classique Finite volume methods Riesz transform Finite volume 35P25 Machine learning Random walk Random data Agmon estimates Time series Céramologie Model order reduction Inverse problem Harmonic oscillator Semigroup Reeb vector field Secondary 58J50 Determinantal point process 2010 Mathematics Subject Classification Primaries 81U40 Godunov-type schemes Asymptotic normality Contact geometry Large deviations Contact homology Resolvent estimates Helmholtz equation KAM theory Convergence Birkhoff normal forms Morse theory Long memory Finite volume scheme Contact structure Hypocoercivity Nonlinear Schrödinger equation Schrödinger equation Volumes finis Éléments finis Low regularity Eigenvalues Laplacian Sobolev inequality Phase transition Spectral asymptotics Global solutions Simulation Finite volume schemes Archéologie Central limit theorem Nodal domains Birkhoff normal form Limit theorem High-dimensional approximation Catégories de foncteurs Foncteurs polynomiaux Hamiltonian PDEs Compressible Coherent states Entropy Homologie des foncteurs Chronology Discrete entropy inequalities Linear model Relaxation Chemotaxis Asymptotic-preserving schemes Nodal domain Nodal lines Anisotropic Calderón problem Courant nodal domain theorem Shape optimization Stability