A non-mixing Arnold flow on a surface
Dynamical Systems
2023-08-03 v1
Abstract
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate saddles and that is nevertheless not mixing.
Cite
@article{arxiv.2308.01247,
title = {A non-mixing Arnold flow on a surface},
author = {Bassam Fayad and Adam Kanigowski and Rigoberto Zelada},
journal= {arXiv preprint arXiv:2308.01247},
year = {2023}
}
Comments
50 pages, 4 figures