| dc.contributor.author | Christodoulou, A | |
| dc.date.accessioned | 2021-07-23T09:03:53Z | |
| dc.date.available | 2021-07-23T09:03:53Z | |
| dc.date.issued | 2021-05-25 | |
| dc.identifier.issn | 1073-7928 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/73204 | |
| dc.description.abstract | This article concerns the locus of locally constant SL(2,ℝ)
-valued cocycles that have a dominated splitting, called the hyperbolic locus. By developing the theory of Möbius semigroups we show that cocycles on the boundary of the hyperbolic locus, apart from a few exceptions, exhibit some form of hyperbolic behaviour. This behaviour is used to answer a question posed by Avila, Bochi and Yoccoz. Our approach introduces a new locus of cocycles, closely related to the hyperbolic locus, and motivates a line of investigation on the subject. | en_US |
| dc.publisher | Oxford University Press | en_US |
| dc.relation.ispartof | International Mathematics Research Notices | |
| dc.title | Parameter Spaces of Locally Constant Cocycles | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © The Author(s) 2021. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model) | |
| dc.identifier.doi | 10.1093/imrn/rnab116 | |
| pubs.notes | Not known | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
