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Algebraic Combinatorics on Words - M. Lothaire

Algebraic Combinatorics on Words

(Autor)

Buch | Hardcover
520 Seiten
2002
Cambridge University Press (Verlag)
978-0-521-81220-7 (ISBN)
CHF 246,15 inkl. MwSt
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.
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.

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.

Erscheint lt. Verlag 18.4.2002
Reihe/Serie Encyclopedia of Mathematics and its Applications
Verlagsort Cambridge
Sprache englisch
Maße 156 x 234 mm
Gewicht 838 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-521-81220-8 / 0521812208
ISBN-13 978-0-521-81220-7 / 9780521812207
Zustand Neuware
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