Algebraic Combinatorics on Words
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. 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.
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Information
Table of contents
- Cover
- Half Title
- Series Page
- Title
- Copyright
- Contents
- Preface
- CHAPTER 1 Finite and Infinite Words
- CHAPTER 2 Sturmian Words
- CHAPTER 3 Unavoidable Patterns
- CHAPTER 4 Sesquipowers
- CHAPTER 5 The Plactic Monoid
- CHAPTER 6 Codes
- CHAPTER 7 Numeration Systems
- CHAPTER 8 Periodicity
- CHAPTER 9 Centralizers of Noncommutative Series and Polynomials
- CHAPTER 10 Transformations on Words and q-Calculus
- CHAPTER 11 Statistics on Permutations and Words
- CHAPTER 12 Makanin's Algorithm
- CHAPTER 13 Independent Systems of Equations
- References
- Index of Notation
- General Index
