000			03185nam a22004455i 4500
001			u374654
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005			20160812084245.0
007			cr nn 008mamaa
008			100825s2010 gw | s |||| 0|eng d
020			_a9783642140341 _9978-3-642-14034-1
040			_cMX-MeUAM
050		4	_aQA313
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aCeccherini-Silberstein, Tullio. _eauthor.
245	1	0	_aCellular Automata and Groups _h[recurso electrónico] / _cby Tullio Ceccherini-Silberstein, Michel Coornaert.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXX, 440 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aCellular 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			_aCellular 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	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
700	1		_aCoornaert, Michel. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642140334
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14034-1
596			_a19
942			_cLIBRO_ELEC
999			_c202534 _d202534