K. Frączek

activity

20022020

most citedErgodic directions for billiards in a strip with periodically located obstacles

13 citations · 37 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DS2017★ 3 cited

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

Krzysztof Frączek, Martin Schmoll

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 re…

math.DS2017

On typicality of translation flows which are disjoint with their inverse

Przemyslaw Berk, Krzysztof Fraczek, Thierry de la Rue

In this paper we prove that translation structures for which the corresponding vertical translation flows is weakly mixing and disjoint with its inverse, form a $G_{δ}$ -dense set in…

On ergodicity of foliations on Zd-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses

On typicality of translation flows which are disjoint with their inverse

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