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Exceptional ergodic directions in Eaton lenses Artículo académico uri icon

Abstracto

  • 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 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.

fecha de publicación

  • 2017-6-1