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.
Original language | English |
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Pages (from-to) | 353-366 |
Number of pages | 14 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 4 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 1984 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics