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Cellular Automata and Groups (Record no. 23716)

000 -LEADER
fixed length control field 03054nam a22004215i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151456.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100825s2010 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642140341
978-3-642-14034-1
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
Classification number 515.48
Edition number 23
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2010.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ceccherini-Silberstein, Tullio.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Cellular Automata and Groups
Medium [electronic resource] /
Statement of responsibility, etc by Tullio Ceccherini-Silberstein, Michel Coornaert.
300 ## - PHYSICAL DESCRIPTION
Extent XX, 440 p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Springer Monographs in Mathematics,
International Standard Serial Number 1439-7382
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cellular Automata -- Residually Finite Groups -- Surjunctive Groups -- Amenable Groups -- The Garden of Eden Theorem -- Finitely Generated Amenable Groups -- Local Embeddability and Sofic Groups -- Linear Cellular Automata -- Nets and the Tychonoff Product Theorem -- Uniform Structures -- Symmetric Groups -- Free Groups -- Inductive Limits and Projective Limits of Groups -- The Banach-Alaoglu Theorem -- The Markov-Kakutani Fixed Point Theorem -- The Hall Harem Theorem -- Complements of Functional Analysis -- Ultrafilters.
520 ## - SUMMARY, ETC.
Summary, etc Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Differentiable dynamical systems.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Coornaert, Michel.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642140334
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-14034-1
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-10AUM Main Library2014-04-10 2014-04-10 E-Book   AUM Main Library515.39