Open AccessErgodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai
Author(s) -
Mariusz Lemańczyk
Publication year - 2022
Publication title -
journal of modern dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.668
H-Index - 25
eISSN - 1930-532X
pISSN - 1930-5311
DOI - 10.3934/jmd.2022005
Subject(s) - ergodicity , mathematics , mixing (physics) , pure mathematics , orthogonality , statistical physics , geometry , physics , quantum mechanics , statistics
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.
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