Topological and symbolic dynamics for hyperbolic systems with holes
| dc.contributor.author | Bundfuss, Stefan | |
| dc.contributor.author | Krüger, Tyll | |
| dc.contributor.author | Troubetzkoy, Serge | |
| dc.date.accessioned | 2017-10-27T12:55:06Z | |
| dc.date.available | 2017-10-27T12:55:06Z | |
| dc.date.issued | 2010 | |
| dc.description | Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich. | de |
| dc.description | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. | en |
| dc.description.abstract | We consider an axiom A diffeomorphism or a Markov map of an interval and the invariant set Ω* of orbits which never falls into a fixed hole. We study various aspects of the symbolic representation of Ω* and of its non-wandering set Ωnw. Our results are on the cardinality of the set of topologically transitive components of Ωnw and their structure. We also prove that Ω* is generically a subshift of finite type in several senses. | en |
| dc.identifier.eissn | 1469-4417 | |
| dc.identifier.issn | 0143-3857 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7074 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6383 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | |
| dc.title | Topological and symbolic dynamics for hyperbolic systems with holes | en |
| dc.type | Article | |
| dc.type.version | publishedVersion | |
| dcterms.bibliographicCitation.doi | 10.1017/s0143385710000556 | |
| dcterms.bibliographicCitation.issue | 5 | |
| dcterms.bibliographicCitation.journaltitle | Ergodic theory and dynamical systems | |
| dcterms.bibliographicCitation.originalpublishername | Cambridge University Press | |
| dcterms.bibliographicCitation.originalpublisherplace | Cambridge | |
| dcterms.bibliographicCitation.pageend | 1323 | |
| dcterms.bibliographicCitation.pagestart | 1305 | |
| dcterms.bibliographicCitation.volume | 31 | |
| tub.accessrights.dnb | domain | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin |
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