Algebraic Combinatorics on Words

Algebraic Combinatorics on Words

by M. Lothaire
     
 

ISBN-10: 0521812208

ISBN-13: 9780521812207

Pub. Date: 09/28/2003

Publisher: Cambridge University Press

Combinatorics on words has arisen independently within several branches of mathematics, for instance, number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's Combinatorics on Words. Since its publication, the area has developed and the

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Overview

Combinatorics on words has arisen independently within several branches of mathematics, for instance, number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's Combinatorics on Words. Since its publication, the area has developed and the authors now aim to present several more topics as well as giving deeper insights into subjects that were discussed in the previous volume. An introductory chapter provides the reader with all the necessary background material. There are numerous examples, full proofs whenever possible and a notes section discussing further developments in the area. This book is both a comprehensive introduction to the subject and a valuable reference source for researchers.

Product Details

ISBN-13:
9780521812207
Publisher:
Cambridge University Press
Publication date:
09/28/2003
Series:
Encyclopedia of Mathematics and its Applications Series, #90
Pages:
520
Product dimensions:
6.14(w) x 9.21(h) x 1.14(d)

Table of Contents

Preface
Ch. 1Finite and Infinite Words1
Ch. 2Sturmian Words45
Ch. 3Unavoidable Patterns111
Ch. 4Sesquipowers135
Ch. 5The Plactic Monoid164
Ch. 6Codes197
Ch. 7Numeration Systems230
Ch. 8Periodicity269
Ch. 9Centralizers of Noncommutative Series and Polynomials312
Ch. 10Transformations on Words and q-Calculus330
Ch. 11Statistics on Permutations and Words365
Ch. 12Makanin's Algorithm387
Ch. 13Independent Systems of Equations443
References473
Index of Notation497
General Index499

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