A Bernoulli linked-twist map in the plane

Simple item page
dc.creatorSpringham, James
dc.creatorWiggins, Stephen
dc.date2008-12-13
dc.date.accessioned2026-07-07T12:12:42Z
dc.date.available2026-07-07T12:12:42Z
dc.descriptionWe prove that a Lebesgue measure-preserving linked-twist map defined in the plane is metrically isomorphic to a Bernoulli shift (and thus strongly mixing). This is the first such result for an explicitly defined linked-twist map on a manifold other than the two-torus. Our work builds on that of Wojtkowski who established an ergodic partition for this example using an invariant cone-field in the tangent space.
dc.description13 pages, 8 figures, high quality figures on request
dc.identifierhttps://arxiv.org/abs/0812.2552
dc.identifierhttp://arxiv.org/abs/0812.2552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210630
dc.subjectDynamical Systems
dc.titleA Bernoulli linked-twist map in the plane
dc.typetext

Files

Collections

arXiv