Algebraic Combinatorics on Words

by M. Lothaire

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:	9780521180719
Publisher:	Cambridge University Press
Publication date:	06/02/2011
Series:	Encyclopedia of Mathematics and its Applications , #90
Edition description:	Reissue
Pages:	520
Product dimensions:	6.70(w) x 9.60(h) x 1.30(d)

Table of Contents

1. Finite and infinite words J. Berstel and D. Perrin; 2. Sturmian words J. Berstel and P. Séébold; 3. Unavoidable patterns J. Cassaigne; 4. Sesquipowers A. De Luca and S. Varricchio; 5. The plactic monoid A. Lascoux, B. Leclerc and J.-Y. Thibon; 6. Codes V. Bruyère; 7. Numeration systems C. Frougny; 8. Periodicity F. Mignosi and A. Restivo; 9. Centralisers of noncommutative series and polynomials C. Reutenauer; 10. Transformations on words and q-calculus D. Foata and G.-N. Han; 11. Statistics on permutations and words J. Désarménien; 12. Makanin's algorithm V. Diekert; 13. Independent systems of equations T. Harju, J. Karhumäki and W. Plandowski.

What People are Saying About This

From the Publisher

Review of the hardback: 'This book will certainly become a reference book and have the same impact as the first book of Lotahire: essentially self-contained, with many exercise and interesting notes, not mentioning a bibliography with more than 450 items.' Jean-Paul Allouche, Zentrallblatt MATH

Review of the hardback: '… an indispensable reference …' Mathematika

Editorial Reviews

Review of the hardback: 'This book will certainly become a reference book and have the same impact as the first book of Lotahire: essentially self-contained, with many exercise and interesting notes, not mentioning a bibliography with more than 450 items.' Jean-Paul Allouche, Zentrallblatt MATH

Review of the hardback: '… an indispensable reference …' Mathematika

From the Publisher

Except for the initial introduction, each of the chapters can be used as a core text for a graduate course. No mathematics beyond a general undergraduate level is assumed, and no exposure to Lothaire's 1983 . Annotation c. Book News, Inc., Portland, OR (booknews.com)