Cover image for Automatic Sequences.
Automatic Sequences.
Title:
Automatic Sequences.
Author:
Haeseler, Friedrich.
ISBN:
9783110197969
Personal Author:
Physical Description:
1 online resource (191 pages)
Series:
De Gruyter Expositions in Mathematics ; v.36

De Gruyter Expositions in Mathematics
Contents:
Frontmatter -- Contents -- Introduction -- Chapter 1. Preliminaries -- Chapter 2. Expanding endomorphisms and substitutions -- Chapter 3. Automaticity -- Chapter 4. Automaticity II -- Chapter 5. Algebraic properties -- Backmatter.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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