dc.contributor.author | Okuyama, Yûsuke | |
dc.contributor.author | Pankka, Pekka | |
dc.date.accessioned | 2015-10-26T12:23:08Z | |
dc.date.available | 2015-10-26T12:23:08Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Okuyama, Y., & Pankka, P. (2014). Equilibrium measures for uniformly quasiregular dynamics. <i>London Mathematical Society: Second Series</i>, <i>89</i>, 524-538. <a href="https://doi.org/10.1112/jlms/jdt077" target="_blank">https://doi.org/10.1112/jlms/jdt077</a> | |
dc.identifier.other | CONVID_23708013 | |
dc.identifier.other | TUTKAID_62049 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/47432 | |
dc.description.abstract | We establish the existence and fundamental properties of
the equilibrium measure in uniformly quasiregular dynamics. We show
that a uniformly quasiregular endomorphism f of degree at least 2 on a
closed Riemannian manifold admits an equilibrium measure µf , which
is balanced and invariant under f and non-atomic, and whose support
agrees with the Julia set of f. Furthermore we show that f is strongly
mixing with respect to the measure µf . We also characterize the measure
µf using an approximation property by iterated pullbacks of points
under f up to a set of exceptional initial points of Hausdorff dimension
at most n − 1. These dynamical mixing and approximation results
are reminiscent of the Mattila-Rickman equidistribution theorem
for quasiregular mappings. Our methods are based on the existence of
an invariant measurable conformal structure due to Iwaniec and Martin
and the A-harmonic potential theory. | |
dc.language.iso | eng | |
dc.publisher | Oxford University Press; London Mathematical Society | |
dc.relation.ispartofseries | London Mathematical Society: Second Series | |
dc.subject.other | mappings | |
dc.subject.other | integrability | |
dc.subject.other | manifolds | |
dc.title | Equilibrium measures for uniformly quasiregular dynamics | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201510233477 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2015-10-23T12:15:03Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 524-538 | |
dc.relation.issn | 0024-6107 | |
dc.relation.numberinseries | 0 | |
dc.relation.volume | 89 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2014 London Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by London Mathematical Society & OUP. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1112/jlms/jdt077 | |