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Algebraic Combinatorics on Words M. Lothaire

Algebraic Combinatorics on Words By M. Lothaire

Algebraic Combinatorics on Words by M. Lothaire


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Summary

Combinatorics on words appears in many different areas of mathematics and theoretical computer science. With background material, full proofs whenever possible, and a discussion of further developments, this 2002 book is both a comprehensive introduction to the subject and a valuable reference source for researchers.

Algebraic Combinatorics on Words Summary

Algebraic Combinatorics on Words by M. Lothaire

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 book Combinatorics on Words. Originally published in 2002, this book presents several more topics and provides deeper insights into subjects 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.

Algebraic Combinatorics on Words 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

Table of Contents

1. Finite and infinite words J. Berstel and D. Perrin; 2. Sturmian words J. Berstel and P. Seebold; 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. Bruyere; 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. Desarmenien; 12. Makanin's algorithm V. Diekert; 13. Independent systems of equations T. Harju, J. Karhumaki and W. Plandowski.

Additional information

NLS9780521180719
9780521180719
0521180716
Algebraic Combinatorics on Words by M. Lothaire
New
Paperback
Cambridge University Press
2011-06-02
520
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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