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Gohlke, Philipp: Aperiodic Order and Singular Spectra. 2022
Content
Introduction
Preliminaries
Basic conventions
Measures and functionals
Non-negative matrices
Markov chains
Dynamical systems
Symbolic dynamics
Mixing properties
Entropy and complexity
Spectral properties
Substitutions and their generalizations
Substitutions
Random substitutions
Random substitutions
Invariant and ergodic measures
Entropy
Diffraction
Schrödinger operators
Schrödinger operators and symbolic dynamics
Almost minimal substitutions
Mixed potentials
The TM measure as a g-measure
Some background on g-measures
Super-polynomial scaling
Multifractal analysis
Outlook
Conditional probabilities
