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Substitutions in Dynamics, Arithmetics and Combinatorics
Paperback
Series: Lecture Notes in Mathematics, Book 1794
FictionGeneral ComputersGeneral Mathematics
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ISBN10: 3540441417
ISBN13: 9783540441410
Publisher: Springer Nature
Published: Sep 23 2002
Pages: 404
Weight: 1.36
Height: 0.93 Width: 6.18 Depth: 9.30
Language: English
ISBN13: 9783540441410
Publisher: Springer Nature
Published: Sep 23 2002
Pages: 404
Weight: 1.36
Height: 0.93 Width: 6.18 Depth: 9.30
Language: English
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because 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 combinatorics 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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