We construct examples of ergodic vertical flows in periodic configurations of Eaton lenses of fixed radius. We achieve this by studying a family of infinite translation surfaces that are Z2-covers of slit tori. We show that the Hausdorff dimension of lattices for which the vertical flow is ergodic is bigger than 3/2. Moreover, the lattices are explicitly constructed.
|Number of pages||28|
|Journal||Israel Journal of Mathematics|
|Early online date||5 May 2017|
|Publication status||Published - Jun 2017|