Krzysztof Frączek

activity

20092025

most citedOn Hausdorff dimension of the set of closed orbits for a cylindrical transformation

14 citations · 45 across the 11 of their papers we have counts for

collaborators

Showing 2010 · math.DSShow all

2 papers · 2 filters

math.DS2010★ 14 cited

On Hausdorff dimension of the set of closed orbits for a cylindrical transformation

Krzysztof Fraczek, Mariusz Lemanczyk

We deal with Besicovitch's problem of existence of discrete orbits for transitive cylindrical transformations $T_{φ} : (x, t) \mapsto (x + α, t + φ (x))$ where $T x = x + α$ is an irrational rotatio…

math.DS2010★ 1 cited

Ratner's property and mixing for special flows over two-dimensional rotations

K. Fraczek, M. Lemanczyk

We consider special flows over two-dimensional rotations by $(α, β)$ on $\T^2$ and under piecewise $C^{2}$ roof functions $f$ satisfying von Neumann's condition $\int_{\T^2}f_x(x,y)\,…