
Combinatorics, Words and Symbolic Dynamics
Cambridge University Press
Published on 26. February 2016
Book
Hardback
496 pages
978-1-107-07702-7 (ISBN)
Description
Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 23 Halftones, unspecified; 112 Line drawings, unspecified
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 34 mm
Weight
995 gr
ISBN-13
978-1-107-07702-7 (9781107077027)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Valerie Berthe | Michel Rigo
Combinatorics, Words and Symbolic Dynamics
E-Book
03/2016
Cambridge University Press
€130.99
Available for download

Valerie Berthe
Combinatorics, Words and Symbolic Dynamics
E-Book
02/2016
Cambridge University Press
€118.99
Available for download
Persons
Valerie Berthe is a CNRS Research Director at LIAFA (Laboratoire d'Informatique Algorithmique: Fondements et Applications) at the Universite Paris Diderot, Paris 7. She is Deputy Director of the Fondation Sciences Mathematiques de Paris and has authored 70 journal or conference papers. Her main research interests are tilings, numeration systems, substitutive dynamicals systems and symbolic dynamics. Michel Rigo is a full professor in the Department of Mathematics at the Universite de Liege, Belgium, and head of the research group in discrete mathematics. He has authored more than 50 journal or conference papers and two books. His main research interests are formal language theory, numeration systems and combinatorics on words.
Editor
Universite de Paris VII (Denis Diderot)
Universite de Liege, Belgium
Content
List of contributors; Preface; Acknowledgments; 1. Preliminaries V. Berthe and M. Rigo; 2. Expansions in non-integer bases M. de Vries and V. Komornik; 3. Medieties, end-first algorithms, and the case of Rosen continued fractions B. Rittaud; 4. Repetitions in words N. Rampersad and J. Shallit; 5. Text redundancies G. Badkobeh, M. Crochemore, C. S. Iliopoulos and M. Kubica; 6. Similarity relations on words V. Halava, T. Harju and T. Kaerki; 7. Synchronised automata M.-P. Beal and D. Perrin; 8. Cellular automata, tilings and (un)computability J. Kari; 9. Multidimensional shifts of finite type and sofic shifts M. Hochman; 10. Linearly recursive sequences and Dynkin diagrams C. Reutenauer; 11. Pseudo-randomness of a random Kronecker sequence. An instance of dynamical analysis E. Cesaratto and B. Vallee; Notation index; General index.