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  1. Home
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  3. Combinatorics, Words and Symbolic Dynamics
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
January 2016
Print publication year:
2016
Online ISBN:
9781139924733
DOI:
https://doi.org/10.1017/CBO9781139924733
Subjects:
Mathematics (general), Mathematics, Computer Science, Discrete Mathematics Information Theory and Coding, Cryptography, Cryptology and Coding
Series:
Encyclopedia of Mathematics and its Applications (159)
Information

Book 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.

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