Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/51504
 Title: On the connectivity of the escaping set for complex exponential Misiurewicz parameters Author: Jarque i Ribera, Xavier Keywords: DinàmicaFuncions holomorfesDinàmica topològicaDynamicsHolomorphic functionsTopological dynamics Issue Date: 2011 Publisher: American Mathematical Society (AMS) Abstract: Let $E_{\lambda}(z)=\lambda {\rm exp}(z), \lambda\in \mathbb{C}$, be the complex exponential family. For all functions in the family there is a unique asymptotic value at 0 (and no critical values). For a fixed $\lambda$, the set of points in $\mathbb{C}$ with orbit tending to infinity is called the escaping set. We prove that the escaping set of $E_{\lambda}$ with $\lambda$ Misiurewicz (that is, a parameter for which the orbit of the singular value is strictly preperiodic) is a connected set. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2010-10611-1 It is part of: Proceedings of the American Mathematical Society, 2011, vol. 139, num. 6, p. 2057-2065 Related resource: http://dx.doi.org/10.1090/S0002-9939-2010-10611-1 URI: http://hdl.handle.net/2445/51504 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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