Spindeler, Timo: On Spectral Theory of Compatible Random Inflation Systems. 2018
Inhalt
- Introduction
- Basics
- Random noble means substitutions
- Diffraction of the RNMS
- An approach via concatenation
- Weakly almost periodic measures
- The continuous part of the diffraction measure
- The pure point part of the diffraction measure
- The deformed random Fibonacci chain
- The random period doubling substitution
- The deterministic period doubling substitution
- The randomised case
- Diffraction of the random period doubling chain
- An example in two dimensions
- The deterministic block substitution
- The randomised case
- Diffraction of the random block substitution
- The topological point spectrum
- Kronecker factor versus maximal equicontinuous factor
- The topological point spectrum of the random noble means chain
- Generic elements of the stochastic hull
- The Kronecker factor of the random noble means chain
- Interpretation via disintegration
- The Kronecker factor of the random period doubling chain
- Summary and outlook
- Biblography
- List of Symbols
- Index