Substitutions in dynamics, arithmetics and combinatorics / N. Pytheas Fogg ; V. Berthé, S. Ferenczi, C. Mauduit... [et al.]Type de document : MonographieCollection : Lecture notes in mathematics, 1794Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer-Verlag, 2002Description : 1 vol. (XVII- 402 p.) ; 24 cmISBN: 3540441417.ISSN: 0075-8434.Bibliographie : Bibliogr. p. -397. Index.Sujet MSC : 11B85, Number theory - Sequences and sets, Automata sequences
11-02, Research exposition (monographs, survey articles) pertaining to number theory
68Q45, Computer science - Theory of computing, Formal languages and automata
68R15, Discrete mathematics in relation to computer science, Combinatorics on words
11A55, Elementary number theory, Continued fractions
11A63, Elementary number theory, Radix representation; digital problemsEn-ligne : Zentralblatt | MathSciNet | Springerlink Item type: Monographie
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This collective book, published under the pseudonym N. Pytheas Fogg, based on courses given by the authors in several universities and during several summer schools, addresses the study of substitutions from the triple point of view of dynamics, arithmetics, and combinatorics: from transcendence to partitions, from symbolic (substitutive) dynamical systems to Sturmian sequences, from spectral theory to Diophantine approximations and fractals, from invertible substitutions to polynomial substitutive dynamical systems, from piecewise linear transformations of the unit interval to Cantor sets. The twelve chapters written by ten authors and the appendix written by an eleventh author give an eclectic variety of themes that is both pleasant to read and filled with many results and ideas.
The book ends with a large bibliography of 469 items. (Zentralblatt)
Bibliogr. p. -397. Index
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