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...

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Κύριος συγγραφέας: Pytheas Fogg, N.
Άλλοι συγγραφείς: Berthé, Valérie, 1968-...., mathématicienne (Επιμελητής έκδοσης), Ferenczi, Sébastien, 1958-...., mathématicien (Επιμελητής έκδοσης), Mauduit, Christian, 1959-2019 (Επιμελητής έκδοσης), Siegel, Anne, 1975-...., chercheuse en bioinformatique (Επιμελητής έκδοσης)
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Σειρά:Lecture notes in mathematics 1794
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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
Περιγραφή
Περίληψη: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 iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.
Περιγραφή τεκμηρίου:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540457145 (PDF)
ISSN:1617-9692
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