Central limit theorems for solutions of the Kac equation: speed of approach to equilibrium in weak metrics
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Publication:846743
DOI10.1007/s00440-008-0196-0zbMath1181.60030OpenAlexW1974235335MaRDI QIDQ846743
Ester Gabetta, Eugenio Regazzini
Publication date: 9 February 2010
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-008-0196-0
central limit theoremBerry-Esseen inequality\(\chi\)-weighted metricsBoltzmann (Kac) equationGini's (Tanaka, Wasserstein) metricsKolmogorov's metric
Central limit and other weak theorems (60F05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (10)
Multi-dimensional smoothing transformations: existence, regularity and stability of fixed points ⋮ Complete characterization of convergence to equilibrium for an inelastic Kac model ⋮ Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law ⋮ Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions ⋮ Probabilistic view of explosion in an inelastic Kac model ⋮ The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation ⋮ Central limit theorem for a class of one-dimensional kinetic equations ⋮ Reaching the best possible rate of convergence to equilibrium for solutions of Kac's equation via central limit theorem ⋮ Probabilistic study of the speed of approach to equilibrium for an inelastic Kac model ⋮ Characterization of weak convergence of probability-valued solutions of general one-dimensional kinetic equations
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