Skip to content
Register Sign in Wishlist

Combinatorics, Words and Symbolic Dynamics

$180.00 (C)

Part of Encyclopedia of Mathematics and its Applications

V. Berthé, M. Rigo, M. de Vries, V. Komornik, B. Rittaud, N. Rampersad, J. Shallit, G. Badkobeh, M. Crochemore, C. S. Iliopoulos, M. Kubica, V. Halava, T. Harju, T. Kärki, M.-P. Béal, D. Perrin, J. Kari, M. Hochman, C. Reutenauer, E. Cesaratto, B. Vallée
View all contributors
  • Date Published: February 2016
  • availability: Available
  • format: Hardback
  • isbn: 9781107077027

$ 180.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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.

    • Covers a large scope of topics with a combinatorical flavour and various applications
    • Carefully selected authors are specialists in their respective fields
    • Serves as an entry point for graduate students, with many pointers to the wider literature
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: February 2016
    • format: Hardback
    • isbn: 9781107077027
    • length: 496 pages
    • dimensions: 242 x 163 x 37 mm
    • weight: 0.94kg
    • contains: 135 b/w illus. 75 exercises
    • availability: Available
  • Table of Contents

    List of contributors
    1. Preliminaries V. Berthé 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. Kärki
    7. Synchronised automata M.-P. Béal 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. Vallée
    Notation index
    General index.

  • Editors

    Valérie Berthé, Université de Paris VII (Denis Diderot)
    Valérie Berthé is a CNRS Research Director at LIAFA (Laboratoire d'Informatique Algorithmique: Fondements et Applications) at the Université Paris Diderot, Paris 7. She is Deputy Director of the Fondation Sciences Mathématiques 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, Université de Liège, Belgium
    Michel Rigo is a full professor in the Department of Mathematics at the Université de Liège, 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.


    V. Berthé, M. Rigo, M. de Vries, V. Komornik, B. Rittaud, N. Rampersad, J. Shallit, G. Badkobeh, M. Crochemore, C. S. Iliopoulos, M. Kubica, V. Halava, T. Harju, T. Kärki, M.-P. Béal, D. Perrin, J. Kari, M. Hochman, C. Reutenauer, E. Cesaratto, B. Vallée

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.