A Teichmuller model for period doubling.

Title: A Teichmuller model for period doubling.
Identifier: AAI9908347
identifier: 9908347
Creator: Petrovic, Ivan.
Contributor: Adviser: Frederick Gardiner
Date: 1998
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: We construct a quasiconformal model for intertwining dynamical system acting on a domain of bounded geometric type. It satisfies period doubling relation {dollar}E\circ G\circ G=G\circ E{dollar} and cannot be realized conformally. We construct U AC(E, G) models where G is asymptotically conformal and E uniformly asymptotically conformal for Cantor sets of any Hausdorff dimension between 0 and 1. We show that the scaling functions of U AC(E, G) models are continuous complex valued functions of the unit interval and for every Dini continuous function of the unit interval, there exists a corresponding U AC(E, G) model.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.