Exceptional ergodic directions in Eaton lenses |
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Authors: | Mauro Artigiani |
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Institution: | 1.Centro di Ricerca Matematica,Ennio De Giorgi Collegio Puteano, Scuola Normale Superiore, Piazza dei Cavalieri,Pisa,Italy |
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Abstract: | We construct examples of ergodic vortical flows in periodic configurations of Eaton lenses of fixed radius. We achieve this by studying a family of infinite translation surfaces that are ?2-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. |
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