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Combinatorics, Automata and Number Theory
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Artikel-Nr:
9780521515979
Veröffentl:
2011
Einband:
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Erscheinungsdatum:
05.09.2011
Seiten:
636
Autor:
Val Rie Berth
Gewicht:
1111 g
Format:
240x161x38 mm
Sprache:
Englisch
Beschreibung:
Valerie Berthe is 'Directeur de Recherche CNRS' in the Montpellier Laboratory of Informatics, Robotics, and Micro-electronics (LIRMM) at the University of Montpellier 2, France. Michel Rigo is a Professor in the Department of Mathematics at the University of Liege, Belgium.
This collaborative volume presents trends arising from the fruitful interaction between combinatorics on words, automata and number theory.
Introduction Valérie Berthé and Michel Rigo; 1. Preliminaries; 2. Number representation and finite automata Ch. Frougny and J. Sakarovitch; 3. Abstract numeration systems P. Lecomte and M. Rigo; 4. Factor complexity J. Cassaigne and F. Nicolas; 5. Substitutions, Rauzy fractals, and tilings V. Berthé, A. Siegel and J. Thuswaldner; 6. Combinatorics on Bratelli diagrams and dynamical systems F. Durand; 7. Infinite words with uniform frequencies, and invariant measures S. Ferenczi and T. Monteil; 8. Transcendence and Diophantine approximation B. Adamczewski and Y. Bugeaud; 9. Analysis of digital functions and applications M. Drmota and P. Grabner; 10. The equality problem for purely substitutive words J. Honkala; 11. Long products of matrices V. Blondel and R. Jungers; References; Notation index; General index.