Abstract
We consider a class of special flows over interval exchange transformations which includes roof functions with symmetric logarithmic singularities. We prove that such flows are typically weakly mixing. As a corollary, minimal flows given by multivalued Hamiltonians on higher-genus surfaces are typically weakly mixing.
| Translated title of the contribution | Weak mixing for logarithmic flows over interval exchange transformations |
|---|---|
| Original language | English |
| Pages (from-to) | 35 - 49 |
| Number of pages | 25 |
| Journal | Journal of Modern Dynamics |
| Volume | 3, number 1 |
| DOIs | |
| Publication status | Published - Jan 2009 |