# American Institute of Mathematical Sciences

October  2013, 33(10): 4567-4578. doi: 10.3934/dcds.2013.33.4567

## An equivalent characterization of the summability condition for rational maps

 1 School of Mathematics and Information Science, Henan University, Kaifeng 475004, China

Received  October 2012 Revised  February 2013 Published  April 2013

We give an equivalent characterization of the summability condition in terms of the backward contracting property defined by Juan Rivera-Letelier, for rational maps of degree at least two which are expanding away from critical points.
Citation: Huaibin Li. An equivalent characterization of the summability condition for rational maps. Discrete & Continuous Dynamical Systems - A, 2013, 33 (10) : 4567-4578. doi: 10.3934/dcds.2013.33.4567
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