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Substitution Dynamical Systems - Spectral Analysis


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Table of Contents

The Banach Algebra (T).- Spectral Theory of Unitary Operators.- Spectral Theory of Dynamical Systems.- Dynamical Systems Associated with Sequences.- Dynamical Systems Arising from Substitutions.- Eigenvalues of Substitution Dynamical Systems.- Matrices of Measures.- Matrix Riesz Products.- Bijective Automata.- Maximal Spectral Type of General Automata.- Spectral Multiplicity of General Automata.- Compact Automata.


From the reviews of the second edition:"The first edition of this classical book appeared in Substitution dynamical systems - spectral analysis, Lecture Notes in Mathematics ... . a very important book that everybody interested in automatic and substitutive (morphic) sequences and their associated dynamical systems should definitely possess." (Jean-Paul Allouche, Zentralblatt MATH, Vol. 1225, 2012)

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