Substitution Dynamical Systems - Spectral Analysis

• Main Author: Queffľec, Martine. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1294
• Subjects: Mathematics.; Harmonic analysis.; Differentiable dynamical systems.; Fourier analysis.; Operator theory.; Number theory.; Dynamical Systems and Ergodic Theory.; Fourier Analysis.; Number Theory.; Measure and Integration.; Operator Theory.; Abstract Harmonic Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-11212-6

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, t...

Table of Contents:

• 1 The Banach Algebra M(T)
• 2 Spectral Theory of Unitary Operators
• 3 Spectral Theory of Dynamical Systems
• 4 Dynamical Systems Associated with Sequences
• 5 Dynamical Systems Arising From Substitutions
• 6 Eigenvalues of Substitution Dynamical Systems
• 7 Matrices of Measures
• 8 Matrix Riesz Products
• 9 Bijective Automata
• 10 Maximal Spectral Type of General Automata
• 11 Spectral Multiplicity of General Automata
• 12 Compact Automata.