000 02454nam a22003858i 4500
001 CR9780511549908
003 UkCbUP
005 20200124160238.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090511s2002||||enk o ||1 0|eng|d
020 _a9780511549908 (ebook)
020 _z9780521807951 (hardback)
020 _z9780521183857 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.7
_b.K36 2002
082 0 0 _a515/.42
_221
100 1 _aKammeyer, Janet Whalen,
_d1963-
_eauthor.
245 1 0 _aRestricted orbit equivalence for actions of discrete amenable groups /
_cJanet Whalen Kammeyer, Daniel J. Rudolph.
264 1 _aCambridge :
_bCambridge University Press,
_c2002.
300 _a1 online resource (vi, 201 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v146
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem.
520 _aThis 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples.
650 0 _aMeasure-preserving transformations.
650 0 _aEntropy (Information theory)
700 1 _aRudolph, Daniel J.,
_eauthor.
776 0 8 _iPrint version:
_z9780521807951
830 0 _aCambridge tracts in mathematics ;
_v146.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511549908
999 _c518235
_d518233