• Combinatorics, words and symbolic dynamics[electronic resource] /
  • 紀錄類型: 書目-電子資源 : Monograph/item
    杜威分類號: 511.6
    書名/作者: Combinatorics, words and symbolic dynamics/ edited by Valerie Berthe, Michel Rigo.
    其他題名: Combinatorics, Words & Symbolic Dynamics
    其他作者: Berthe, V.
    出版者: Cambridge : : Cambridge University Press,, 2016.
    面頁冊數: xviii, 475 p. : : ill., digital ;; 24 cm.
    附註: Title from publisher's bibliographic system (viewed on 05 Jan 2016).
    標題: Combinatorial analysis.
    標題: Symbolic dynamics.
    標題: Computer science.
    ISBN: 9781139924733
    ISBN: 9781107077027
    內容註: Machine generated contents note: 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. Karki; 7. Synchronised automata M.-P. Be;al 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.
    摘要、提要註: 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.
    電子資源: https://doi.org/10.1017/CBO9781139924733
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