13 citations · 37 across the 14 of their papers we have counts for
18 papers
Non-uniform ergodic properties of Hamiltonian flows with impacts
Krzysztof Frączek, Vered Rom-Kedar
The ergodic properties of two uncoupled oscillators, a horizontal and vertical one, residing in a class of non rectangular star-shaped polygons with only vertical and horizontal bo…
Prime number theorem for regular Toeplitz subshifts
Krzysztof Frączek, Adam Kanigowski, Mariusz Lemańczyk
We prove that neither a prime nor {an l-almost prime} number theorem hold in the class of regular Toeplitz subshifts. But, {when a quantitative strengthening of the regularity with…
Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders
Jon Chaika, Krzysztof Frączek, Adam Kanigowski +1
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surf…
On ergodicity of foliations on -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…
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 -dense set in…
Recurrence and non-ergodicity in generalized wind-tree models
Krzysztof Frączek, Pascal Hubert
In this paper, we consider generalized wind-tree models and -covers over compact translation surfaces. Under suitable hypothesis, we prove recurrence of the linear flow in a…