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math.SG2020
The Anosov-Katok method and pseudo-rotations in symplectic dynamics
Frédéric Le Roux, Sobhan Seyfaddini
We prove that toric symplectic manifolds admit Hamiltonian pseudo-rotations with a finite, and in a sense minimal, number of ergodic measures. The set of ergodic measures of these…
math.SG2020★ 11 cited
Proof of the simplicity conjecture
Dan Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini
In the 1970s, Fathi, having proven that the group of compactly supported volume-preserving homeomorphisms of the -ball is simple for , asked if the same statement holds…