On the spectral gap of the Kac walk and other binary collision processes

zbMath1176.60081arXiv0807.3415MaRDI QIDQ3623882

Pietro Caputo

Publication date: 27 April 2009

Full work available at URL: https://arxiv.org/abs/0807.3415

zbMATH Keywords

Kac modelKac master equationspectral gap estimatesbinary colisionsKac generatorrandom walk on the sphere

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) 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)

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