Brjuno Numbers and Complex Dynamics

The Brjuno numbers play a fundamental role in the study of the 1-dimensional Complex Dynamics Theory. In this work we examine the proof of the Brjuno theorem by using elements of Number Theory. We also examine the topological version of the proof given by J. Yoccoz and his renormalization principle....

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Bibliographic Details
Main Author: Saenz Maldonado, Edgar Arturo
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/32055
http://scholar.lib.vt.edu/theses/available/etd-04302008-005312/