Measurability of optimal transportation and convergence rate for Landau type interacting particle systems

DOI10.1007/s00440-007-0128-4zbMath1183.60037arXivmath/0703432OpenAlexW2091900679MaRDI QIDQ1017879

Hélène Guérin, Joaquin Fontbona, Sylvie Méléard

Publication date: 13 May 2009

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703432

zbMATH Keywords

measurability of optimal transportpredictable transport processLandau type interacting particle systemsnonlinear white noise driven SDEpathwise coupling

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Variational problems in a geometric measure-theoretic setting (49Q20) General theory of stochastic processes (60G07) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules ⋮ Quantitative propagation of chaos for generalized Kac particle systems ⋮ Uniqueness and propagation of chaos for the Boltzmann equation with moderately soft potentials ⋮ Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules ⋮ On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity ⋮ Quantitative uniform propagation of chaos for Maxwell molecules ⋮ Propagation of chaos: a review of models, methods and applications. I: Models and methods ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

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