Substitutions in dynamics, arithmetics, and combinatorics / N. Pytheas Fogg ; editors, V. Berthe ... [et al.]
- 作者： Pytheas Fogg, N.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer c2002
- 叢書名： Lecture notes in mathematics ,1794
- 主題： Combinatorial analysis , Rewriting systems (Computer science) , Computational complexity.
- ISBN： 9783540441410 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005168967 | 機讀編目格式
館藏資訊
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.