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We construct examples of ergodic vertical flows in periodic configurations ofEaton lenses of fixed radius. We achieve this by studying a family of infinitetranslation surfaces that are $\mathbb{Z}^2$-covers of slit tori. We show thatthe Hausdorff dimension of lattices for which the vertical flow is ergodic isbigger than 3/2. Moreover, the lattices are explicitly constructed.

Exceptional ergodic directions in Eaton lenses