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9780821844809

Combinatorics on Words

by ; ; ;
  • ISBN13:

    9780821844809

  • ISBN10:

    0821844806

  • Format: Hardcover
  • Copyright: 2009-01-08
  • Publisher: Amer Mathematical Society

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Summary

"The two parts of this text are based on two series of lectures delivered by Jean Berstel and Christophe Reutenauer in March 2007 at the Centre de Recherches Mathematiques, Montreal, Canada. Part I represents the first modern and comprehensive exposition of the theory of Christoffel words. Part II presents numerous combinatorial and algorithmic aspects of repetition-free words stemming from the work of Axel Thue - a pioneer in the theory of combinatorics on words." "A beginner to the theory of combinatorics on words will be motivated by the numerous examples, and the large variety of exercises, which make the book unique at this level of exposition. The clean and streamlined exposition and the extensive bibliography will also be appreciated. After reading this book, beginners should be ready to read modern research papers in this rapidly growing field and contribute their own research to its development." "Experienced readers will be interested in the finitary approach to Sturmian words that Christoffel words offer, as well as the novel geometric and algebraic approach chosen for their exposition. They will also appreciate the historical presentation of the Thue-Morse word and its applications, and the novel results on Abelian repetition-free words."--BOOK JACKET.

Table of Contents

Christoffel words: Christoffel words
Christoffel morphisms Standard factorization
Palindromization Primitive elements in the free group $F_2$
Characterizations Continued fractions
The theory of Markoff numbers
Repetitions in words: The Thue-Morse word Combinatorics of the Thue-Morse word
Square-free words Squares in words Repetitions and patterns
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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