ITINERARIES INDUCED BY EXCHANGE OF THREE INTERVALS

Masáková , Zuzana; Pelantová , Edita; Starosta , Štěpán

dc.contributor.author	Masáková , Zuzana
dc.contributor.author	Pelantová , Edita
dc.contributor.author	Starosta , Štěpán
dc.date.accessioned	2017-02-09T11:40:46Z
dc.date.available	2017-02-09T11:40:46Z
dc.date.issued	2016
dc.identifier.citation	Acta Polytechnica. 2016, vol. 56, no. 6, p. 462-471.
dc.identifier.issn	1210-2709 (print)
dc.identifier.issn	1805-2363 (online)
dc.identifier.uri	http://hdl.handle.net/10467/67293
dc.description.abstract	We focus on a generalization of the three gap theorem well known in the framework of exchange of two intervals. For the case of three intervals, our main result provides an analogue of this result implying that there are at most 5 gaps. To derive this result, we give a detailed description of the return times to a subinterval and the corresponding itineraries.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	České vysoké učení technické v Praze	cs
dc.publisher	Czech Technical University in Prague	en
dc.relation.ispartofseries	Acta Polytechnica
dc.relation.uri	https://ojs.cvut.cz/ojs/index.php/ap/article/view/3794
dc.rights	Creative Commons Attribution 4.0 International License	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	interval exchange transformation	en
dc.subject	three gap theorem	en
dc.subject	return time	en
dc.subject	first return map	en
dc.title	ITINERARIES INDUCED BY EXCHANGE OF THREE INTERVALS
dc.type	article	en
dc.date.updated	2017-02-09T11:40:46Z
dc.identifier.doi	10.14311/AP.2016.56.0462
dc.rights.access	openAccess
dc.type.status	Peer-reviewed
dc.type.version	publishedVersion

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