ITINERARIES INDUCED BY EXCHANGE OF TWO INTERVALS

Autor: Zuzana Masáková, Edita Pelantová
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Acta Polytechnica, Vol 53, Iss 5 (2013)
Druh dokumentu: article
ISSN: 1210-2709
1805-2363
DOI: 10.14311/AP.2013.53.0444
Popis: We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I of the domain of T, the first return time to I takes three values. We describe the structure of the set of return itineraries to I. In particular, we show that it is equal to {R1,R2,R1R2,Q} where Q is amicable with R1, R2 or R1R2.
Databáze: Directory of Open Access Journals