ENGLISH

Substitutions in Dynamics, Arithmetics and Combinatorics

By N. Pytheas Fogg , Valéré Berthé , Sébastien Ferenczi , Christian Mauduit , Anne Siegel (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
978-3-540-44141-0, 978-3-540-45714-5
DOI
10.1007/b13861
Language
english
Format
PDF
Filesize
11 MB (11429905 bytes)
Series
Lecture Notes in Mathematics 1794
Edition
1
Pages
404\410
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Number Theory; Real Functions; Dynamical Systems aSeriesSummability; Computation by Abstract Devices; Math

Description

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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