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Average co-ordinate entropy

Part of: Measure-theoretic ergodic theory Classical measure theory

Published online by Cambridge University Press:  09 April 2009

Genevieve Mortiss
Genevieve Mortiss
Affiliation:
School of Mathematics, The University of New South Wales, Sydney NSW 2052, Australia e-mail: mortiss@maths.unsw.edu.au
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Abstract

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A notion of entropy for the non-singular action of finite co-ordinate changes on is introduced. This quantity-average co-ordinate or AC entropy-is calculated for product measures and G-measures. It is shown that the type III classes can be subdivided using AC entropy. An equivalence relation is established for which AC entropy is an invariant.

MSC classification

Secondary: 28D20: Entropy and other invariants 28A35: Measures and integrals in product spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 2 , October 2002 , pp. 171 - 186
Copyright
Copyright © Australian Mathematical Society 2002

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