Nadkarni, M. G. (1983) A descriptive characterization of Ergodic systems Sankhya: The Indian Journal of Statistics, 45 (3). pp. 271-287. ISSN 0972-7671
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Official URL: http://sankhya.isical.ac.in/search/45a3/45a3026.ht...
Abstract
Given a Borel structure (X, β) and a T : X → X a Borel automorphism, we give a necessary and sufficient condition (in terms of existence of a suitable σ-ideal for there to exist on β a continuous probability measure which is invariant under T and with respect to which T is ergodic. Some related questions are discussed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Statistical Institute. |
| ID Code: | 23448 |
| Deposited On: | 25 Nov 2010 09:24 |
| Last Modified: | 08 Jun 2011 11:15 |
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