A family of chaotic billiards with variable mixing rates

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dc.creatorChernov, Nikolai
dc.creatorZhang, Hong-Kun
dc.date2004-09-12
dc.date.accessioned2026-07-07T04:31:26Z
dc.date.available2026-07-07T04:31:26Z
dc.descriptionWe describe a one-parameter family of dispersing (hence hyperbolic, ergodic and mixing) billiards where the correlation function of the collision map decays as $1/n^a$ (here $n$ denotes the discrete time), in which the degree $a \in (1, \infty)$ changes continuously with the parameter of the family, $β$. We also derive an explicit relation between the degree $a$ and the family parameter $β$.
dc.description23 page, 7 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0409024
dc.identifierhttp://arxiv.org/abs/math-ph/0409024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57817
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject37D50, 37A25
dc.titleA family of chaotic billiards with variable mixing rates
dc.typetext

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