Algebraic Combinatorics on Words by M. Lothaire
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About this book :-
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. An introductory chapter provides the reader with all the necessary background material.
Book Detail :-
This book has following details information.
Title:
Algebraic Combinatorics on Words by M. Lothaire
Publisher:
Cambridge University Press
Year:
2011
Pages:
455
Type:
PDF
Language:
English
ISBN-10 #:
0521180716
ISBN-13 #:
978-0521180719
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Contents and Preface
2. Finite and Infinite Words (Jean Berstel, Dominique Perrin)
3. Sturmian Words (Jean Berstel, Patrice Séébold)
4. Unavoidable Patterns (Julien Cassaigne)
5. Sesquipowers (Aldo de Luca, Stefano Varricchio)
6. The Plactic Monoid (Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon)
7. Codes (Véronique Bruyère)
8. Numeration Systems (Christiane Frougny)
9. Periodicity (Filippo Mignosi, Antonio Restivo)
10. Centralizers of Noncommutative Series and Polynomials (Christophe Reutenauer)
11. Transformations on words and q-Calculus (Dominique Foata, Guo-Niu Han, )
12. Statistics on Permutations and Words (Jacques Désarménien)
13. Makanin's Algorithm (Volker Diekert)
14. Independent Systems of Equations (Tero Harju, Juhani Karhumäki, Wojciech Plandowski)
15. Bibliography and index (see also: About the bibliography)
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