dc.contributor.author
Chemnitz, Robin
dc.contributor.author
Engel, Maximilian
dc.contributor.author
Koltai, Péter
dc.date.accessioned
2024-03-11T10:16:59Z
dc.date.available
2024-03-11T10:16:59Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/42735
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-42454
dc.description.abstract
We consider linear cocycles taking values in
driven by homeomorphic transformations of a smooth manifold, in discrete and continuous time. We show that any discrete-time cocycle can be extended to a continuous-time cocycle, while preserving its characteristic properties. We provide a necessary and sufficient condition under which this extension is canonical in the sense that the base is extended to an associated suspension flow and that the discrete-time cocycle is recovered as the time-1 map of the continuous-time cocycle. Further, we refine our general result for the case of (quasi-)periodic driving. We use our findings to construct a non-uniformly hyperbolic continuous-time cocycle in
over a uniquely ergodic driving.
en
dc.format.extent
13 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
linear cocycles
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Continuous-time extensions of discrete-time cocycles
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1090/bproc/209
dcterms.bibliographicCitation.journaltitle
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, SERIES B
dcterms.bibliographicCitation.pagestart
23
dcterms.bibliographicCitation.pageend
35
dcterms.bibliographicCitation.volume
11 (2024)
dcterms.bibliographicCitation.url
https://doi.org/10.1090/bproc/209
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.funding
Publikationsfonds FU
refubium.note.author
We acknowledge support by the Open Access Publication Fund of the Freie Universität Berlin.
en
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2330-1511