Entropy, Dimension and Combinatorial Moduli for One-Dimensional Dynamical Systems

The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two seemingly unrelated families of one-dimensional dynamical systems, namely the family of quadratic polynomials and continued fractions. We develop a combinatorial calculus to describe the bifurcation set...

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Bibliographic Details
Main Author: Tiozzo, Giulio
Other Authors: McMullen, Curtis T.
Language:en_US
Published: Harvard University 2013
Subjects:
Online Access:http://dissertations.umi.com/gsas.harvard:10891
http://nrs.harvard.edu/urn-3:HUL.InstRepos:11124847