Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk
Dynamical Systems
2026-03-09 v1
Abstract
We construct analytic symplectomorphisms on the sphere, the disk and the cylinder which are minimally ergodic (only 3 ergodic measures). To achieve this, we apply and generalize a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok.
Keywords
Cite
@article{arxiv.2603.06053,
title = {Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk},
author = {Yann Delaporte},
journal= {arXiv preprint arXiv:2603.06053},
year = {2026}
}