Abstract
In this note we identify the distributional limits of non-negative, ergodic stationary processes, showing that all are possible. Consequences for infinite ergodic theory are also explored and new examples of distributionally stable – and α-rationally ergodic – transformations are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 879-906 |
| Number of pages | 28 |
| Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
| Volume | 54 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 2018 |
Bibliographical note
Publisher Copyright:© Association des Publications de l’Institut Henri Poincaré, 2018.
Keywords
- Distributional limit
- Ergodic stationary process
- Infinite ergodic theory
- Measure preserving transformation
- Normalizing constants
- Α-rationally ergodic