Smooth Anosov Katok Diffeomorphisms With Generic Measure
Dynamical Systems
2022-11-14 v1
Abstract
We construct a plethora of Anosov-Katok diffeomorphisms with non-ergodic generic measures and various other mixing and topological properties. We also construct an explicit collection of the set containing the generic points of the system with interesting values of its Hausdorff dimension.
Cite
@article{arxiv.2211.06067,
title = {Smooth Anosov Katok Diffeomorphisms With Generic Measure},
author = {Divya Khurana},
journal= {arXiv preprint arXiv:2211.06067},
year = {2022}
}