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Substitutions in Dynamics, Arithmetics, and Combinatorics
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Substitutions in Dynamics, Arithmetics, and Combinatorics Paperback - 2002 - 2002nd Edition

by N. Pytheas Fogg


From the publisher

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.

First line

The aim of this chapter is to introduce some concepts and to fix the notation we will use throughout this book.

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  • Title Substitutions in Dynamics, Arithmetics, and Combinatorics
  • Author N. Pytheas Fogg
  • Binding Paperback
  • Edition number 2002nd
  • Edition 2002
  • Pages 402
  • Publisher Springer
  • Date November 11, 2002
  • ISBN 9783540441410
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Substitutions in Dynamics, Arithmetics and Combinatorics
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Substitutions in Dynamics, Arithmetics and Combinatorics

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Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol....
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Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794) (Lecture Notes in Mathematics, 1794)

by Pytheas Fogg, N.; Berthé, Valerie [Editor]; Ferenczi, Sebastien [Editor]; Mauduit, Christian [Editor]; Siegel, Anne [Editor];

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Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794) (Lecture Notes in Mathematics, 1794)

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