Abstract
In 1932 von Neumann proposed classifying the statistical behavior of differentiable systems. In modern language this is interpreted as classifying diffeomorphisms of compact manifolds up to measure isomorphism. This paper proves that this is impossible in a rigorous sense.
| Original language | English |
|---|---|
| Pages (from-to) | 2605-2690 |
| Number of pages | 86 |
| Journal | Journal of the European Mathematical Society |
| Volume | 24 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2022 European Mathematical Society Publishing House. All rights reserved.
Keywords
- Anosov-Katok method
- circular systems
- Classification of ergodic transformations
- distal transformations
- odometers