no code implementations • 8 Feb 2021 • Dan Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini
We resolve three longstanding questions related to the large scale geometry of the group of Hamiltonian diffeomorphisms of the two-sphere, equipped with Hofer's metric.
Symplectic Geometry Dynamical Systems 53D05, 37E30, 58D05, 53D40, 53D99
1 code implementation • 7 Oct 2018 • Frédéric Le Roux, Sobhan Seyfaddini, Claude Viterbo
In this paper we use the theory of barcodes as a new tool for studying dynamics of area-preserving homeomorphisms.
Symplectic Geometry Dynamical Systems