000			02174nam a22003497a 4500
001			sulb-eb0017040
003			BD-SySUS
005			20160405140629.0
008			101021s2010||||enk o ||1 0|eng|d
020			_a9780511801600 (ebook)
020			_z9780521194402 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP _dBD-SySUS.
050	0	0	_aQA313 _b.K35 2010
082	0	0	_a515/.48 _222
100	1		_aKalikow, Steven, _eauthor.
245	1	3	_aAn Outline of Ergodic Theory / _cSteven Kalikow, Randall McCutcheon.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (182 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aCambridge Studies in Advanced Mathematics ; _v122
500			_aTitle from publisher's bibliographic system (viewed on 04 Apr 2016).
520			_aThis informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon–McMillan–Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book.
650		0	_aErgodic theory
650		0	_aIsomorphisms (Mathematics)
700	1		_aMcCutcheon, Randall, _eauthor.
776	0	8	_iPrint version: _z9780521194402
830		0	_aCambridge Studies in Advanced Mathematics ; _v122.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9780511801600
942			_2Dewey Decimal Classification _ceBooks
999			_c38478 _d38478