Chaube, Pradeep ; Nadkarni, M. G. (1987) A version of Dye's theorem for descriptive dynamical systems Sankhya: The Indian Journal of Statistics, 49 (3). pp. 288-304. ISSN 0972-7671
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Official URL: http://sankhya.isical.ac.in/search/49a3/49a3002.ht...
Abstract
A descriptive dynamical system (X, B, N, T) consists of a non-empty set X, a σ-algebra B on X, a σ-ideal N ⊆ B and a one-one onto transformation T : X → X such that T and T-1 are measurable and preserve N. Here we give a set of sufficient conditions under which T has the same set of orbits as a von Neumann transformation.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Statistical Institute. |
| Keywords: | Borel Sets; σ-ideals; Ergodic Transformations |
| ID Code: | 23449 |
| Deposited On: | 25 Nov 2010 09:25 |
| Last Modified: | 08 Jun 2011 09:19 |
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