14 citations · 45 across the 11 of their papers we have counts for
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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 where 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 on $\T^2$ and under piecewise roof functions satisfying von Neumann's condition $\int_{\T^2}f_x(x,y)\,…