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Combinatorics, automata, and number theory PDF

629 Pages·2010·4.343 MB·English
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by Valérie Berthé, Michel Rigo| 2010| 629 pages| 4.343| English

About Combinatorics, automata, and number theory

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.

Detailed Information

Author:Valérie Berthé, Michel Rigo
Publication Year:2010
ISBN:9780521515979
Pages:629
Language:English
File Size:4.343
Format:PDF
Price:FREE
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