2021/01/21 by Slutsky, Konstantin
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2101.08411
Free Borel ℝd-flows are smoothly equivalent if there is a Borel bijection between the phase spaces that maps orbits onto orbits and is a C∞-smooth orientation preserving diffeomorphism between orbits. We show that all free non-tame Borel ℝd-flows are smoothly equivalent in every dimension d ≥ 2. This answers a question of B. Miller and C. Rosendal.