Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists a rule which generates the sequence. The concept automatic sequences has special applications in algebra, number theory, finite automata and formal languages, combinatorics on words.
The text deals with different aspects of automatic sequences, in particular:
* a general introduction to automatic sequences
* the basic (combinatorial) properties of automatic sequences
* the algebraic approach to automatic sequences
* geometric objects related to automatic sequences.
- ISBN10 3110156296
- ISBN13 9783110156294
- Publish Date 20 November 2002
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Edition Reprint 2013
- Format Hardcover
- Pages 191
- Language English
- URL http://degruyter.com/search?f_0=isbnissn&q_0=9783110156294&searchTitles=true