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We present and discuss C. Ulcigrai's results concerning mixing properties of locally Hamiltonian flows, spectral properties of smooth time changes of horocycle flows together with their Möbius orthogonality and the ergodicity problems of directional flows in the wind tree model of Ehrenfest.

Ergodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai