# name
Dynamic rays of bounded-type transcendental self-maps of the punctured plane

# metadata.dc.description.abstract[].value
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.

# metadata.dc.publisher[].value
American Institute of Mathematical Sciences (AIMS)

# metadata.dc.relation.ispartof[].value
Discrete and Continuous Dynamical Systems, 2017, vol. 37, num. 6, p. 3123-3160

# metadata.dc.rights[].value
(c) American Institute of Mathematical Sciences (AIMS), 2017

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Dynamic rays of bounded-type transcendental self-maps of the punctured plane