Poincare Series and instability of exponential maps

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We relate the properties of the postsingular set for the exponential family to the questions of stability. We calculate the action of the Ruelle operator for the exponential family. We prove that if the asymptotic value is a summable point and its orbit satisfies certain topological conditions, the map is unstable hence there are no Beltrami differentials in the Julia set. Also we show that if the postsingular set is a compact set, then the singular value is summable.

Keywords

Dynamical Systems, 37F10;37F30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75434

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506143
 http://arxiv.org/abs/math/0506143

Collections

arXiv