Some remarks on the geometry of circle maps with a break point
| dc.contributor.author | Şimşek, Necip | |
| dc.contributor.author | Dzhalilov, A. | |
| dc.contributor.author | Musso, E. | |
| dc.date.accessioned | 2020-11-21T15:53:29Z | |
| dc.date.available | 2020-11-21T15:53:29Z | |
| dc.date.issued | 2018 | en_US |
| dc.department | İstanbul Ticaret Üniversitesi | en_US |
| dc.description.abstract | We study circle homeomorphisms f ? C 2 (S 1 \{x b }) whose rotation number ? f is irrational, with a single break point x b at which f ? has a jump discontinuity. We prove that the behavior of the ratios of the lengths of any two adjacent intervals of the dynamical partition depends on the size of break and on the continued fraction decomposition of ? f . We also prove a result analogous to Yoccoz’s lemma on the asymptotic behaviour of the lengths of the intervals of trajectories of the renormalization transformation R n (f). © 2018, University of Nis. All rights reserved. | en_US |
| dc.description.sponsorship | Istituto Nazionale di Alta Matematica "Francesco Severi", INdAM The World Academy of Sciences, TWAS: 14 ? 121 ? RG/MATHS/AS G ? UNESCO The World Academy of Sciences, TWAS: FR: 324028604 -- Authors are partially supported by TWAS grant 14 ? 121 ? RG/MATHS/AS G ? UNESCO FR: 324028604 and PRIN 2010-2011 ”Varietà reali e complesse: geometria, topologia e analisi armonica”, by GNSAGA of INDAM. -- -- | en_US |
| dc.identifier.doi | 10.2298/FIL1816549S | en_US |
| dc.identifier.endpage | 5563 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 16 | en_US |
| dc.identifier.scopus | 2-s2.0-85061378877 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 5549 | en_US |
| dc.identifier.uri | https://doi.org/10.2298/FIL1816549S | |
| dc.identifier.uri | https://hdl.handle.net/11467/3598 | |
| dc.identifier.volume | 32 | en_US |
| dc.identifier.wos | WOS:000461184700006 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University of Nis | en_US |
| dc.relation.ispartof | Filomat | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bounded geometry | en_US |
| dc.subject | Circle homeomorphisms | en_US |
| dc.subject | Comparability | en_US |
| dc.subject | Denjoy’s inequality | en_US |
| dc.subject | Dynamical partition | en_US |
| dc.subject | Renormalization | en_US |
| dc.subject | Rotation number | en_US |
| dc.title | Some remarks on the geometry of circle maps with a break point | en_US |
| dc.type | Article | en_US |
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