Mixing on a class of rank one transformations

Simple item page
dc.creatorCreutz, Darren
dc.creatorSilva, C. E.
dc.date2001-09-21
dc.date.accessioned2026-07-07T04:43:28Z
dc.date.available2026-07-07T04:43:28Z
dc.descriptionWe prove that a rank one transformation satisfying a condition called restricted growth is a mixing transformation if and only if the spacer sequence for the transformation is uniformly ergodic. Uniform ergodicity is a generalization of the notion of ergodicity for sequences in the sense that the mean ergodic theorem holds for what we call dynamical sequences. In particular, Adams' class of staircase transformations and Ornstein's class constructed using ``random spacers'' have both restricted growth and uniformly ergodic spacer sequences.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0109159
dc.identifierhttp://arxiv.org/abs/math/0109159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62240
dc.subjectDynamical Systems
dc.subject37A25
dc.titleMixing on a class of rank one transformations
dc.typetext

Files

Collections

arXiv