No division and the set of periods for tree maps

Lluís Alsedà; Xiangdong Ye

doi:10.1017/S0143385700008348

No division and the set of periods for tree maps

Lluís Alsedà, Xiangdong Ye

Departament de Matemàtiques

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29 Cites (Scopus)

Resum

We extend the notion of no division for star maps to tree maps and prove that the set of periods of a tree map is cofinite if there exists some periodic orbit of the given map with period larger than one having no division. Using this result we obtain somesimple proofs of known results about the set of periods of a tree map. Also we show that this set is a union of initial segments of a finite number of linear orderings which depend only on the given tree minus a finite subset of N. © 1995, Cambridge University Press. All rights reserved.

Idioma original	English
Pàgines (de-a)	221-237
Revista	Ergodic Theory and Dynamical Systems
Volum	15
Número d'incidència	2
DOIs	https://doi.org/10.1017/S0143385700008348
Estat de la publicació	Publicada - 1 de gen. 1995

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10.1017/S0143385700008348

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Citeu això

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AB - We extend the notion of no division for star maps to tree maps and prove that the set of periods of a tree map is cofinite if there exists some periodic orbit of the given map with period larger than one having no division. Using this result we obtain somesimple proofs of known results about the set of periods of a tree map. Also we show that this set is a union of initial segments of a finite number of linear orderings which depend only on the given tree minus a finite subset of N. © 1995, Cambridge University Press. All rights reserved.

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DO - 10.1017/S0143385700008348

M3 - Article

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JF - Ergodic Theory and Dynamical Systems

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