Algebraic Combinatorics on Words

AvM. Lothaire

Häftad, Engelska, 2011

Del 90 i serien Encyclopedia of Mathematics and its Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-06-02
Mått:170 x 244 x 27 mm
Vikt:820 g
Format:Häftad
Språk:Engelska
Serie:Encyclopedia of Mathematics and its Applications
Antal sidor:520
Förlag:Cambridge University Press
ISBN:9780521180719

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Recensioner i media

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

Innehållsförteckning

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.