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On ergodicity of foliations on $\mathbb Z^d$-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses

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dc.contributor.author Frączek, Krzysztof
dc.contributor.author Schmoll, Martin
dc.date.accessioned 2017-12-27T10:00:39Z
dc.date.available 2017-12-27T10:00:39Z
dc.date.issued 2017-12-27
dc.identifier.other arXiv.org;arXiv:1708.05550
dc.identifier.uri http://repozytorium.umk.pl/handle/item/4768
dc.description.abstract We consider the geodesic flow defined by periodic Eaton lens patterns in the plane and discover ergodic ones among those. The ergodicity result on Eaton lenses is derived from a result for quadratic differentials on the plane that are pull backs of quadratic differentials on tori. Ergodicity itself is concluded for $\mathbbZ^d$-covers of quadratic differentials on compact surfaces with vanishing Lyapunov exponents.
dc.description.sponsorship Narodowe Centrum Nauki grant 2014/13/B/ST1/03153 Simons Collaboration Grant 318898
dc.language.iso eng
dc.rights info:eu-repo/semantics/openAccess
dc.subject periodic Eaton lens patterns
dc.subject ergodicity
dc.subject quadratic differentials
dc.subject Lyapunov exponents
dc.title On ergodicity of foliations on $\mathbb Z^d$-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses
dc.type info:eu-repo/semantics/preprint


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