ITINERARIES INDUCED BY EXCHANGE OF TWO INTERVALS

Authors

  • Zuzana Masáková Department of Mathematics FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2
  • Edita Pelantová Department of Mathematics FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2

DOI:

https://doi.org/10.14311/AP.2013.53.0444

Abstract

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.

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Published

2013-10-24

How to Cite

Masáková, Z., & Pelantová, E. (2013). ITINERARIES INDUCED BY EXCHANGE OF TWO INTERVALS. Acta Polytechnica, 53(5), 444–449. https://doi.org/10.14311/AP.2013.53.0444

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Articles