東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Restricted orbit equivalence for act...

Kammeyer, Janet Whalen, (1963-)

Linked to FindBook

Google Book

Amazon

博客來

Restricted orbit equivalence for actions of discrete amenable groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Restricted orbit equivalence for actions of discrete amenable groups/ Janet Whalen Kammeyer, Daniel J. Rudolph.
Author:	Kammeyer, Janet Whalen,
other author:	Rudolph, Daniel J.
Published:	Cambridge :Cambridge University Press, : 2002.,
Description:	vi, 201 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem.
Subject:	Measure-preserving transformations. -
Online resource:	https://doi.org/10.1017/CBO9780511549908
ISBN:	9780511549908

Restricted orbit equivalence for actions of discrete amenable groups
Kammeyer, Janet Whalen,1963-

Restricted orbit equivalence for actions of discrete amenable groups[electronic resource] /Janet Whalen Kammeyer, Daniel J. Rudolph. - Cambridge :Cambridge University Press,2002. - vi, 201 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;146. - Cambridge tracts in mathematics ;146..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem.

This 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.

ISBN: 9780511549908Subjects--Topical Terms:

716630
Measure-preserving transformations.

LC Class. No.: QA613.7 / .K36 2002

Dewey Class. No.: 515.42

Restricted orbit equivalence for actions of discrete amenable groups
LDR:02040nmm a2200289 a 4500 001 2227149
003 UkCbUP
005 20151005020622.0
006 m d
007 cr nn 008maaau
008 210414s2002 enk o 1 0 eng d
020 $a 9780511549908 $q (electronic bk.)
020 $a 9780521807951 $q (hardback)
020 $a 9780521183857 $q (paperback)
035 $a CR9780511549908
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA613.7 $b .K36 2002
082 0 4 $a 515.42 $2 21
090 $a QA613.7 $b .K15 2002
100 1 $a Kammeyer, Janet Whalen, $d 1963- $3 731271
245 1 0 $a Restricted orbit equivalence for actions of discrete amenable groups $h [electronic resource] / $c Janet Whalen Kammeyer, Daniel J. Rudolph.
260 $a Cambridge : $b Cambridge University Press, $c 2002.
300 $a vi, 201 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 146
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem.
520 $a This 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 $a Measure-preserving transformations. $3 716630
650 0 $a Entropy (Information theory) $3 664113
700 1 $a Rudolph, Daniel J. $3 731270
830 0 $a Cambridge tracts in mathematics ; $v 146. $3 3470411
856 4 0 $u https://doi.org/10.1017/CBO9780511549908