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Book Categories |
Preface | ||
List of contributors | ||
1 | Basic notions on substitutions | 1 |
Pt. I | Arithmetics and combinatorics of substitutions | |
2 | Substitutions, arithmetic and finite automata: an introduction | 35 |
3 | Automatic sequences and transcendence | 53 |
4 | Substitutions and partitions of the set of positive integers | 81 |
Pt. II | Dynamics of substitutions | |
5 | Substitutions and symbolic dynamical systems | 101 |
6 | Sturmian Sequences | 143 |
7 | Spectral theory and geometric representation of substitutions | 199 |
8 | Diophantine approximations, substitutions, and fractals | 253 |
Pt. III | Extensions to free groups and interval transformations | |
9 | Infinite words generated by invertible substitutions | 295 |
10 | Polynomial dynamical systems associated with substitutions | 321 |
11 | Piecewise linear transformations of the unit interval and Cantor sets | 343 |
12 | Some open problems | 363 |
A | Undecomposable matrices in dimension 3 | 375 |
References | 377 | |
Index | 399 |
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