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|
|Pages (from-to)||35 - 49|
|Number of pages||25|
|Journal||Journal of Modern Dynamics|
|Volume||3, number 1|
|Publication status||Published - Jan 2009|