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Restricted orbit equivalence for act...

Kammeyer, Janet Whalen, (1963-)

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Restricted orbit equivalence for actions of discrete amenable groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Restricted orbit equivalence for actions of discrete amenable groups/ Janet Whalen Kammeyer, Daniel J. Rudolph.
作者:	Kammeyer, Janet Whalen,
其他作者:	Rudolph, Daniel J.
出版者:	Cambridge :Cambridge University Press, : 2002.,
面頁冊數:	vi, 201 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem.
標題:	Measure-preserving transformations. -
電子資源:	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
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