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Aug 14, 2023 at 14:13 comment added Moishe Kohan I am not sure about your level. You can start by reading E.Ghys' plenary talk at ICM-2006 in Madrid. You also need to know that ergodicity of a flow implies that almost every orbit is dense.
Aug 14, 2023 at 11:31 comment added NicAG @MoisheKohan Very interesting. Could you point me to some reference?
Aug 12, 2023 at 3:32 comment added Moishe Kohan For instance, the complement to the trefoil knot in $S^3$ admits an ergodic dynamical system, the geodesic flow of the modular orbifold.
Aug 11, 2023 at 15:12 comment added NicAG Cross posted: math.stackexchange.com/questions/4750810/…
Aug 11, 2023 at 15:12 history asked NicAG CC BY-SA 4.0