On some common misconceptions regarding the "Ergodic Hierarchy"

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dc.creatorvan Beijeren, Henk
dc.date2004-07-28
dc.date.accessioned2026-07-07T02:59:27Z
dc.date.available2026-07-07T02:59:27Z
dc.descriptionThe well-known ergodic hierarchy of sheerly ergodic, mixing, Kolmogorov and Bernoulli systems, with each next level supposedly encompassing the previous one, is shown to be too simplistic in its usual formulation. A K-system can be sheerly ergodic and sometimes may be reduced to a sheerly mixing system by some simple projection. More precise characterizations of ergodic properties of dynamical systems should start out from a consideration of the full Lyapunov spectrum.
dc.description2 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0407730
dc.identifierhttp://arxiv.org/abs/cond-mat/0407730
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24517
dc.subjectStatistical Mechanics
dc.titleOn some common misconceptions regarding the "Ergodic Hierarchy"
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