Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk
Dynamical Systems
2025-07-18 v1
Abstract
We construct analytic pseudo-rotations on the sphere and the disk with specific properties. We obtain analytic pseudo-rotations which are ergodic. Then, in opposition to ergodicity, we construct analytic pseudo-rotations which exhibit a maximum order of local emergence. To achieve this, we apply a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok.
Keywords
Cite
@article{arxiv.2507.13029,
title = {Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk},
author = {Yann Delaporte},
journal= {arXiv preprint arXiv:2507.13029},
year = {2025}
}