Carregant...
Fitxers
Tipus de document
ArticleVersió
Versió publicadaData de publicació
Tots els drets reservats
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/120441
Dynamic rays of bounded-type transcendental self-maps of the punctured plane
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
We study the escaping set of functions in the class B∗, that is, transcendental self-maps of C∗ for which the set of singular values is contained in a compact annulus of C∗ that separates zero from infinity. For functions in the class B∗, escaping points lie in their Julia set. If f is a composition of finite order transcendental self-maps of C∗ (and hence, in the class B∗), then we show that every escaping point of f can be connected to one of the essential singularities by a curve of points that escape uniformly. Moreover, for every sequence e∈{0,∞}N0, we show that the escaping set of f contains a Cantor bouquet of curves that accumulate to the set {0,∞} according to e under iteration by f.
Matèries
Matèries (anglès)
Citació
Citació
FAGELLA RABIONET, Núria, MARTÍ-PETE, David. Dynamic rays of bounded-type transcendental self-maps of the punctured plane. _Discrete and Continuous Dynamical Systems_. 2017. Vol. 37, núm. 6, pàgs. 3123-3160. [consulta: 25 de febrer de 2026]. ISSN: 1078-0947. [Disponible a: https://hdl.handle.net/2445/120441]