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  1. Home
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  3. Combinatorics, Automata and Number Theory
  • Cited by 42
Publisher:
Cambridge University Press
Online publication date:
March 2013
Print publication year:
2010
Online ISBN:
9780511777653
DOI:
https://doi.org/10.1017/CBO9780511777653
Subjects:
Mathematics (general), Mathematics, Number Theory, Discrete Mathematics Information Theory and Coding
Series:
Encyclopedia of Mathematics and its Applications (135)
Information

Book description

This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book.

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