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Combinatorics, Automata and Number Theory (Hardcover, New)
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Combinatorics, Automata and Number Theory (Hardcover, New)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 17 working days
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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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