| Record ID | marc_columbia/Columbia-extract-20221130-007.mrc:278517632:2420 |
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LEADER: 02420fam a22003858a 4500
001 3283603
005 20221020025228.0
008 010228s2001 nyu b 001 0 eng
010 $a 2001025506
020 $a0521807956
035 $a(OCoLC)49949997
035 $a(OCoLC)ocm49949997
035 $9AUR6957CU
035 $a(NNC)3283603
035 $a3283603
040 $aDLC$cDLC$dNNC$dOrLoB-B
042 $apcc
050 00 $aQA613.7$b.K36 2001
082 00 $a515/.42$221
100 1 $aKammeyer, Janet Whalen,$d1963-$0http://id.loc.gov/authorities/names/n2001000318
245 10 $aRestricted orbit equivalence for actions of discrete amenable groups /$cJanet Whalen Kammeyer, Daniel J. Rudolph.
260 $aNew York :$bCambridge University Press,$c2001.
263 $a0109
300 $avi, 201 pages ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references and index.
505 00 $g1.$tIntroduction --$g2.$tDefinitions and Examples --$g3.$tThe Ornstein-Weiss Machinery --$g4.$tCopying Lemmas --$g5.$tm-entropy --$g6.$tm-joinings --$g7.$tThe Equivalence Theorem.
520 1 $a"This 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.".
520 8 $a"Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's isomorphism theory, the Kakutani equivalence theory and a host 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.
520 8 $aThe 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."--BOOK JACKET.
650 0 $aMeasure-preserving transformations.$0http://id.loc.gov/authorities/subjects/sh85082701
650 0 $aEntropy (Information theory)$0http://id.loc.gov/authorities/subjects/sh85044152
700 1 $aRudolph, Daniel J.$0http://id.loc.gov/authorities/names/n82026065
852 00 $bmat$hQA613.7$i.K36 2001