Average co-ordinate entropy

Author:

Mortiss Genevieve

Abstract

AbstractA 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. [11] Mortiss G. , Average co-ordinate entropy and a non-singular version of restricted orbit equivalence (Ph.D. Thesis, University of New South Wales, 1997).

2. A Skew Product Entropy for Nonsingular Transformations

3. Odometer actions on G-measures

4. Strongly mixingg-measures

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