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Self-affine tilings, digit sets classification, and related problems.

Cheung Wai-Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 62-64). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Fundamental Results of Self-Affine Tiles --- p.11 / Chapter 2.1 --- Construction of self-affine tiles --- p.11 / Chapter 2.2 --- The requirements of self-affine tiles --- p.14 / Chapter 2.3 --- Tiling sets of self-affine tiles --- p.22 / Chapter 3 --- Digit sets of Self-Affine Tiles --- p.42 / Chapter 3.1 --- Integral self-affine tiles --- p.42 / Chapter 3.2 --- Classification of digit sets --- p.49 / Chapter 3.3 --- Weak product-form digit set --- p.52 / Chapter 3.4 --- Remarks --- p.55 / Chapter 4 --- Discussion --- p.57 / Chapter 4.1 --- Concluding remarks --- p.57 / Chapter 4.2 --- Conjectures --- p.58 / Bibliography --- p.64

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324922
Date January 2004
ContributorsCheung, Wai-Man., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vi, 64 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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