Algebraic Combinatorics on Words

M. Lothaire

504 pages, parution le 12/02/2002

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Résumé

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. 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.

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.

L'auteur - M. Lothaire

M. Lothaire is the nom-de-plume of a group of mathematicians all working in the area of algebraic combinatorics. This book is Lothaire's third, and follows on from the two earlier ones, both of which are still available from Cambridge university Press.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	M. Lothaire
Parution	12/02/2002
Nb. de pages	504
Format	16 x 24
Couverture	Relié
Poids	878g
Intérieur	Noir et Blanc
EAN13	9780521812207