Titlebook: Substitutions in Dynamics, Arithmetics and Combinatorics; N. Pytheas Fogg,Valéré Berthé,Anne Siegel Book 2002 Springer-Verlag Berlin Heide

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Substitutions and symbolic dynamical systemswe shall use at some points notions of measure theory and spectral theory; when there is no explanation in the text, the reader is referred to any standard book, such as [122] and [340]; however, we have tried to isolate these places, and the reader can skip them without damage to his general understanding.

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Book 2002s on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.

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Book 2002ause they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure..The authors describe the concepts of quantity of natural interactions, with combinatoric

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