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＜電子ブック＞
Profinite Semigroups and Symbolic Dynamics / by Jorge Almeida, Alfredo Costa, Revekka Kyriakoglou, Dominique Perrin
(Lecture Notes in Mathematics. ISSN:16179692 ; 2274)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
大きさ	IX, 278 p. 67 illus., 4 illus. in color : online resource
著者標目	*Almeida, Jorge author Costa, Alfredo author Kyriakoglou, Revekka author Perrin, Dominique author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Computer science—Mathematics LCSH:Discrete mathematics LCSH:Dynamical systems LCSH:Machine theory FREE:Group Theory and Generalizations FREE:Discrete Mathematics in Computer Science FREE:Dynamical Systems FREE:Formal Languages and Automata Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-55215-2

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