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Combinatorics, Automata and Number Theory

Combinatorics, Automata and Number Theory

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 135

General Mathematics

ISBN10: 0521515971
ISBN13: 9780521515979
Publisher: Cambridge University Press
Published: Aug 12 2010
Pages: 636
Weight: 2.40
Height: 1.70 Width: 6.30 Depth: 9.30
Language: English
This collaborative volume presents recent 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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General Mathematics