Substitutions in dynamics, arithmetics and combinatorics

＜図書＞
Substitutions in dynamics, arithmetics and combinatorics

責任表示	N. Pytheas Fogg ; editors, V. Berthé ... [et al.]
シリーズ	Lecture notes in mathematics ; 1794
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2002
本文言語	英語
大きさ	xvii, 402 p. : ill. ; 24 cm
概要	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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7006753

一般注記	Bibliography: p. [377]-397 Includes index
著者標目	*Fogg, N. Pytheas Berthé, V.
書誌ID	1001239182
ISBN	3540441417
NCID	BA59097459
巻冊次	ISBN:3540441417
登録日	2009.09.18
更新日	2017.02.18