Articoli correlati a Substitutions in Dynamics, Arithmetics and Combinatorics:...
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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).
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Substitutions in Dynamics, Arithmetics and Combinatorics
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Springer Berlin / Heidelberg, 2002
ISBN 10: 3540441417
ISBN 13: 9783540441410
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Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794) (Lecture Notes in Mathematics, 1794)
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paperback. Condizione: Very Good. Softcover. Very good condition. Previous owners name discreetly on the title page. No date on the title page. Copyright page dated 2002. 402 pages. Pages are crisp and clean. We are a real brick and mortar bookstore and ship books everyday. This listing was written by an actual person with the book in front of them for inspection. Please email with questions or to request photographs. Codice articolo F-9069
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Substitutions in Dynamics, Arithmetics and Combinatorics
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Substitutions in Dynamics, Arithmetics, and Combinatorics
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Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794)
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Substitutions in Dynamics, Arithmetics and Combinatorics
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Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2002
ISBN 10: 3540441417
ISBN 13: 9783540441410
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Paperback. Condizione: New. 2002 ed. 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. Codice articolo LU-9783540441410
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Substitutions in dynamics, arithmetics and combinatorics. Lecture notes in mathematics; Bd. 1794.
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Softcover. Condizione: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03982 9783540441410 Sprache: Englisch Gewicht in Gramm: 1050. Codice articolo 2489917
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Substitutions in Dynamics, Arithmetics and Combinatorics
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasA 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 . Codice articolo 4890882
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Substitutions in Dynamics, Arithmetics and Combinatorics
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