By Valérie Berthé,Michel Rigo

This collaborative 2010 quantity provides developments coming up from the fruitful interplay among the topics of combinatorics on phrases, automata and formal language concept, and quantity thought. featuring a number of very important instruments and ideas, the authors additionally show many of the fascinating and significant relationships that exist among those various fields. themes contain numeration platforms, be aware complexity functionality, morphic phrases, Rauzy tilings and substitutive dynamical platforms, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic homes of electronic services, decidability matters for D0L structures, matrix items and joint spectral radius. themes are offered in a fashion that hyperlinks them to the 3 major topics, but in addition extends them to dynamical structures and ergodic conception, fractals, tilings and spectral houses of matrices. Graduate scholars, examine mathematicians and computing device scientists operating in combinatorics, thought of computation, quantity thought, symbolic dynamics, fractals, tilings and stringology will locate a lot of curiosity during this book.

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Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications, 135) by Valérie Berthé,Michel Rigo


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