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Field name	Details
Dewey Class	512.2
Title	Profinite Semigroups and Symbolic Dynamics ([EBook]) / by Jorge Almeida, Alfredo Costa, Revekka Kyriakoglou, Dominique Perrin.
Author	Almeida, Jorge
Added Personal Name	Costa, Alfredo
	Kyriakoglou, Revekka
	Perrin, Dominique
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	IX, 278 p. 67 illus., 4 illus. in color. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2274
ISBN	9783030552152
Summary Note	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.:
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-55215-2
Links to Related Works	Subject References: Computer science-Mathematics . Discrete Mathematics in Computer Science . Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Group theory . Group Theory and Generalizations . Mathematical logic . Mathematical Logic and Formal Languages . Authors: Almeida, Jorge . author . Costa, Alfredo . Kyriakoglou, Revekka . Perrin, Dominique . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.2 .

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Profinite Semigroups and Symbolic Dynamics

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