3 papers
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
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…
math.SG2019
An Arnold-type principle for non-smooth objects
Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini
In this article we study the Arnold conjecture in settings where objects under consideration are no longer smooth but only continuous. The example of a Hamiltonian homeomorphism, o…