Sets of periods for piecewise monotone tree maps
Visualitza/Obre
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/1071
Tipus de documentArticle
Data publicació2001
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 2.5 Espanya
Abstract
We study the set of periods of tree maps f : T −→ T which are monotone between any
two consecutive points of a fixed periodic orbit P. This set is characterized in terms of some
integers which depend only on the combinatorics of f|P and the topological structure of T. In
particular, a type p ≥ 1 of P is defined as a generalization of the notion introduced by Baldwin
in his characterization of the set of periods of star maps. It follows that there exists a divisor
k of the period of P such that if the set of periods of f is not finite then it contains either all
the multiples of kp or an initial segment of the kp≥ Baldwin’s ordering, except for a finite set
which is explicitly bounded. Conversely, examples are given where f has precisely these sets of
periods.
Col·leccions
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
AlsedaJuherMumbru.pdf | 460,8Kb | Visualitza/Obre |