Global spectral gap for Dirichlet-Kac random motions. (English) Zbl 1144.82042
Summary: We prove that the global spectral gap, for any Dirichlet-Kac random motion, is equal to the convergence rate of the limit motion.
MSC:
| 82C22 | Interacting particle systems in time-dependent statistical mechanics |
| 82C40 | Kinetic theory of gases in time-dependent statistical mechanics |
| 76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
| 92D10 | Genetics and epigenetics |
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