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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| Format: | Livre numérique |
| Język: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seria: | 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 |
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| 009 | PPN155182153 | ||
| 020 | |a 9783540457145 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 s | ||
| 100 | 1 | |a Pytheas Fogg, N. | |
| 245 | 1 | 0 | |a Substitutions in dynamics, arithmetics, and combinatorics |c N. Pytheas Fogg ; [edited by ] Valéré Berthé, Sébastien Ferenczi, Christian Mauduit, Anne Siegel. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1794 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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). | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Systèmes de réécriture (informatique) | ||
| 650 | |a Analyse combinatoire | ||
| 650 | |a Complexité de calcul (informatique) | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Nombres, Théorie des | ||
| 700 | 1 | |a Berthé, Valérie, |d 1968-...., |c mathématicienne. |4 edt | |
| 700 | 1 | |a Ferenczi, Sébastien, |d 1958-...., |c mathématicien. |4 edt | |
| 700 | 1 | |a Mauduit, Christian, |d 1959-2019. |4 edt | |
| 700 | 1 | |a Siegel, Anne, |d 1975-...., |c chercheuse en bioinformatique. |4 edt | |
| 776 | 0 | |0 078717558 |t Substitutions in dynamics, arithmetics, and combinatorics |f N. Pytheas Fogg |d 2002 |c Berlin |n Springer |p 1 vol. (XVII- 402 p.) |s Lecture notes in mathematics |z 978-3540-44141-0 | |
| 776 | 0 | |t Substitutions in Dynamics, Arithmetics and Combinatorics |b Texte imprimé |z 9783662212264 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b13861 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-29RHZH61-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750668458 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b13861 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754017540 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b13861 |z Accès INSA CVL | |
| 997 | |0 969951 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||