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math.DS2005★ 4 cited
Periodic billiard orbits in right triangles II
Serge Troubetzkoy
Periodic billiard orbits are dense in the phase space of an irrational right triangle. A stronger pointwise density result is also proven.
math.DS2005★ 3 cited
Weak mixing of maps with bounded cutting parameter
El Houcein El Abdalaoui, Arnaldo A. N. Noguiera, Thierry T. D. De Larue
In the class of Ornstein transformations the mixing property satisfies a 0-1 law. Here we consider Ornstein's construction with bounded cutting parameter. In fact, these latter tra…