Exercises in Cellular Automata and Groups

Um unseren Shop nutzen zu können, müssen Sie Javascript in Ihrem Browser aktivieren.

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

67,40 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Sie können kein Produkt in den Warenkorb legen, da Javascript und technisch notwendige Cookies aktiviert sein müssen.

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

This book complements the authors¿ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the maindefinitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use.
Foreword by Rostislav I. Grigorchuk

Über den Autor

Tullio Ceccherini-Silberstein graduated from the University of Rome La Sapienza in 1990 and obtained his PhD in mathematics at the University of California at Los Angeles in 1994. Since 1997 he has been professor of Mathematical Analysis at the University of Sannio, Benevento (Italy). His main interests include harmonic and functional analysis, geometric and combinatorial group theory, ergodic theory and dynamical systems, and theoretical computer science. He is an editor of the journal Groups, Geometry, and Dynamics, published by the European Mathematical Society, and of the Bulletin of the Iranian Mathematical Society. He has published more than 90 research papers, 9 monographs, and 4 conference proceedings.

Professor Michel Coornaert taught mathematics at the University of Strasbourg from 1992 until 2021. His research interests are in geometry, topology, group theory and dynamical systems. He is the author of many Springer volumes,including Topological Dimension and Dynamical Systems (2015), Cellular Automata and Groups (2010), Symbolic Dynamics and Hyperbolic Groups (1993) and Géométrie et théorie des groupes (1990).

Zusammenfassung

This is the first exercise book on cellular automata over groups

The presentation is detailed and self-contained

Contains several exotic examples and counterexamples

Inhaltsverzeichnis

1 Cellular Automata.- 2 Residually Finite Groups.- 3 Surjunctive Groups.- 4 Amenable Groups.- 5 The Garden of Eden Theorem.- 6 Finitely Generated Amenable Groups.- 7 Local Embeddability and Sofic Groups.- 8 Linear Cellular Automata.

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	648
Reihe:	Springer Monographs in Mathematics
Inhalt:	xvii 627 S. 15 s/w Illustr. 627 p. 15 illus.
ISBN-13:	9783031103902
ISBN-10:	3031103904
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Ceccherini-Silberstein, Tullio Coornaert, Michel
Auflage:	1st ed. 2023
Hersteller:	Springer International Publishing Springer Monographs in Mathematics
Maße:	241 x 160 x 38 mm
Von/Mit:	Tullio Ceccherini-Silberstein (u. a.)
Erscheinungsdatum:	02.11.2023
Gewicht:	1,245 kg

preigu-id: 121972770