Profinite Semigroups and Symbolic Dynamics is popular PDF and ePub book, written by Jorge Almeida in 2020-09-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Profinite Semigroups and Symbolic Dynamics can be Read Online from any device for your convenience.
Profinite Semigroups and Symbolic Dynamics Book PDF Summary
This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
Detail Book of Profinite Semigroups and Symbolic Dynamics PDF
- Author : Jorge Almeida
- Release : 10 September 2020
- Publisher : Springer Nature
- ISBN : 9783030552152
- Genre : Mathematics
- Total Page : 278 pages
- Language : English
- PDF File Size : 13,9 Mb
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