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Substitutions in Dynamics, Arithmetics and Combinatorics

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Cover of 'Substitutions in Dynamics, Arithmetics and Combinatorics'

Table of Contents

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    Book Overview
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    Chapter 1 Basic notions on substitutions
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    Chapter 2 Substitutions, arithmetic and finite automata: an introduction
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    Chapter 3 Automatic sequences and transcendence
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    Chapter 4 Substitutions and partitions of the set of positive integers
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    Chapter 5 Substitutions and symbolic dynamical systems
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    Chapter 6 Sturmian Sequences
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    Chapter 7 Spectral theory and geometric representation of substitutions
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    Chapter 8 Diophantine approximations, substitutions, and fractals
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    Chapter 9 Infinite words generated by invertible substitutions
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    Chapter 10 Polynomial dynamical systems associated with substitutions
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    Chapter 11 Piecewise linear transformations of the unit interval and Cantor sets
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    Chapter 12 Some open problems
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    Chapter 13 A. Undecomposable matrices in dimension 3 (by J. Rivat)
Attention for Chapter 7: Spectral theory and geometric representation of substitutions
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