Substitutions in dynamics, arithmetics, and combinatorics
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by itera...
Gespeichert in:
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| Weitere Verfasser: | , , , |
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1794 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Substitutions in dynamics, arithmetics, and combinatorics, N. Pytheas Fogg, 2002, Berlin, Springer, 1 vol. (XVII- 402 p.), Lecture notes in mathematics, 978-3540-44141-0 • Substitutions in Dynamics, Arithmetics and Combinatorics, Texte imprimé, 9783662212264 |
Inhaltsangabe:
- Basic notions on substitutions
- Basic notions on substitutions
- Arithmetics and combinatorics of substitutions
- Substitutions, arithmetic and finite automata: an introduction
- Automatic sequences and transcendence
- Substitutions and partitions of the set of positive integers
- Dynamics of substitutions
- Substitutions and symbolic dynamical systems
- Sturmian Sequences
- Spectral theory and geometric representation of substitutions
- Diophantine approximations, substitutions, and fractals
- Extensions to free groups and interval transformations
- Infinite words generated by invertible substitutions
- Polynomial dynamical systems associated with substitutions
- Piecewise linear transformations of the unit interval and Cantor sets
- Some open problems
- A. Undecomposable matrices in dimension 3 (by J. Rivat).