Semiconjugacies to angle-doubling

Simple item page
dc.creatorBoyland, Philip
dc.date2004-11-12
dc.date.accessioned2026-07-07T05:14:17Z
dc.date.available2026-07-07T05:14:17Z
dc.descriptionA simple consequence of a theorem of Franks says that whenever a continuous map, $g$, is homotopic to angle doubling on the circle it is semiconjugate to it. We show that when this semiconjugacy has one disconnected point inverse, then the typical point in the circle has a point inverse with uncountably many connected components. Further, in this case the topological entropy of $g$ is strictly larger than that of angle doubling, and the semiconjugacy has unbounded variation. An analogous theorem holds for degree-$D$ circle maps with $D > 2$.
dc.identifierhttps://arxiv.org/abs/math/0411292
dc.identifierhttp://arxiv.org/abs/math/0411292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73217
dc.subjectDynamical Systems
dc.subject37E10
dc.titleSemiconjugacies to angle-doubling
dc.typetext

Files

Collections

arXiv