Online clustering Determinantal point processes 60H10 Real algebraic curves Fractional Laplacian Expectiles Lévy processes Diffeology Riccati equation Automorphism group Spherical functions Newton kernel Eigenvalues Infinite dimensional groups General Completion Graded Lie algebra Bayesian approach Classification Exponential functional Factorial series Batalin-Vilkovisky algebra Probabilités et Statistique 60J50 Product formula Clustering Affine surface Numerical semigroups Reversible Jump Markov Chain Monte Carlo Approximate root Magnetic Laplacian Quantization Quantifier elimination Free divisor Ballot theorem Birational diffeomorphism 53C35 Algebraic geometry Algebra Fast rates Brownian motion Laplace transform Analyse Geometry Integrable systems A priori estimates Adaptation Renormalized traces Duality 31B25 Affine complexification Singularities Emergence time F-divergence minimal martingale measure First passage time Seminormalization Poisson Heat kernel Algebraic topology Arbres plans Valuation Automorphisms Regulous functions Cell decomposition Continuous rational functions Darboux transformation Mathematical and Computational Physics Analysis Blowing up Pseudodifferential operators Asymptotic behavior Partial graphical model Autoregressive processes Exit time Real spectrum Lamperti representation Asymptotic normality Unit root Heavy tails Inference Pairwise comparisons Mathematics Groupe Random walk Real algebraic variety 60J60 Convolution Birational geometry Sparsity Deconvolution Kadomtsev-Petviashvili hierarchy Exponential map Heyting algebra Approximate roots Hilbert scheme High-dimensional linear regression Inverse problem Asymptotics Normalization Algebraic