Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions

DOI10.1214/20-AOP1437zbMath1456.60252arXiv1812.03874OpenAlexW3094360365MaRDI QIDQ2212610

Michael Loss, Eric Anders Carlen, Maria Conception Carvalho

Publication date: 24 November 2020

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

Full work available at URL: https://arxiv.org/abs/1812.03874

zbMATH Keywords

spectral gapkinetic theorydegenerate rates

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items

A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles, The Kac model: variations on a theme

Cites Work

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