Fagella Rabionet, NúriaMartí-Pete, David2018-03-052018-03-052017-06-011078-0947https://hdl.handle.net/2445/120441We 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.38 p.application/pdfeng(c) American Institute of Mathematical Sciences (AIMS), 2017Sistemes dinàmics complexosFuncionsComplex dynamical systemsFunctionsinfo:eu-repo/semantics/article6703812018-03-05info:eu-repo/semantics/openAccess