Abstract
For a class of multiphase averaging problems in which the unperturbed flow of the fast variables is a transitive Anosov flow or is 'sufficiently rapidly mixing', we obtain what we believe is an optimal power-law estimate, in the small parameter, of the rate at which the average maximum difference between solutions of the exact and averaged problems converges to zero. This verifies and extends an earlier conjectural remark by V. I. Arnold.
| Original language | English |
|---|---|
| Pages (from-to) | 1339-1358 |
| Number of pages | 20 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 17 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jan 1997 |
| Externally published | Yes |