| 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 |
