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Matzutt, Kai Miguel: Diffraction of point sets with structural disorder. 2010
Inhalt
List of Figures
Introduction
Structure of the thesis
Acknowledgements
Chapter 1. Notation and preliminaries
1.1. Notation
1.2. Radon measures, Fourier transforms and diffraction
1.3. Some notes on point processes
Chapter 2. Gibbs measures on weighted FLC sets and the absence of singular continuous diffraction
2.1. Weighted FLC sets and the corresponding dynamical system
2.2. Construction of appropriate Gibbs measures
2.3. Diffraction properties
2.4. Further thoughts
Chapter 3. Diffraction of the Matérn hard-core point process
3.1. Moments of point processes and diffraction
3.2. The Matérn hard-core point process
3.3. Diffraction properties
3.4. Concluding thoughts
Bibliography