Pathwise convergence of the hard spheres Kac process

DOI10.1214/19-AAP1475zbMath1442.60099arXiv1801.05791MaRDI QIDQ2286461

Daniel Heydecker

Publication date: 22 January 2020

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05791

zbMATH Keywords

law of large numbersBoltzmann equationWasserstein distanceKac process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (5)

Kac's process with hard potentials and a moderate angular singularity ⋮ Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function ⋮ On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff ⋮ Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

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