Substitutions in Dynamics, Arithmetics and Combinatorics: 1794 (Lecture Notes in Mathematics) - Softcover

Fogg, N. Pytheas

 
9783540441410: Substitutions in Dynamics, Arithmetics and Combinatorics: 1794 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3540441417 ISBN 13: 9783540441410
Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

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.

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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3540441417
ISBN 13 
9783540441410
Einband
Tapa blanda
Anzahl der Seiten
424
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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