Absence of mixing in area-preserving flows on surfaces

Simple item page
dc.creatorUlcigrai, Corinna
dc.date2009-01-29
dc.date.accessioned2026-07-07T12:35:40Z
dc.date.available2026-07-07T12:35:40Z
dc.descriptionWe prove that minimal area-preserving flows locally given by a smooth Hamiltonian on a closed surface of any genus are typically (in the measure-theoretical sense) not mixing. The result is obtained by considering special flows over interval exchange transformations under roof functions with symmetric logarithmic singularities and proving absence of mixing for a full measure set of interval exchange transformations.
dc.identifierhttps://arxiv.org/abs/0901.4764
dc.identifierhttp://arxiv.org/abs/0901.4764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217838
dc.subjectDynamical Systems
dc.titleAbsence of mixing in area-preserving flows on surfaces
dc.typetext

Files

Collections

arXiv