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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151456.0 |
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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 |