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Moll, Markus: On a family of random noble means substitutions. 2013
Inhalt
Introduction
Outline of the thesis
Acknowledgements
Chapter 1. Preliminaries
1.1. Notation
1.2. Symbolic dynamics
1.3. Point sets
1.4. Functional analysis and measure theory
Chapter 2. Noble means substitutions
2.1. The deterministic case
2.2. The randomised case
Chapter 3. Topological entropy
3.1. Complexity of the RNMS
3.2. Topological entropy of the RNMS
Chapter 4. Frequency of RNMS subwords
4.1. The induced substitution
4.2. Ergodicity
Chapter 5. NMS and RNMS sets as model sets
5.1. Iterated function systems
5.2. From dynamics to geometry
5.3. Cut and project
Chapter 6. Diffraction of the RNMS
6.1. Basic tools of RNMS diffraction
6.2. Diffraction of RNMS sets
6.3. Pure point part of ,m"0362,m via inflation-invariant measures
Outlook
Appendix A. Diffraction plots for ,1"0362,1
Appendix B. Numerics for the continuous parts of ,1"0362,1
Bibliography
List of Figures
List of Tables
List of Symbols
Index