Ergodic and mixing sequences of transformations
- 19 September 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 4 (3) , 353-366
- https://doi.org/10.1017/s0143385700002509
Abstract
The notions of ergodicity, strong mixing and weak mixing are defined and studied for arbitrary sequences of measure-preserving transformations of a probability space. Several results, notably ones connected with mean ergodic theorems, are generalized from the case of the sequence of all powers of a single transformation to this case. The conditions for ergodicity, strong mixing and weak mixing of sequences of affine transformations of compact groups are investigated.Keywords
This publication has 1 reference indexed in Scilit:
- Ergodic and Mixing Properties of Chebyshev PolynomialsProceedings of the American Mathematical Society, 1964