Robust dynamics, invariant structures and topological classification
Dynamical Systems
2018-02-16 v1 Geometric Topology
Abstract
This text is about geometric structures imposed by robust dynamical behaviour. We explain recent results towards the classification of partially hyperbolic systems in dimension 3 using the theory of foliations and its interaction with topology. We also present recent examples which introduce a challenge in the classification program and we propose some steps to continue this classification. Finally, we give some suggestions on what to do after classification is achieved.
Cite
@article{arxiv.1802.05291,
title = {Robust dynamics, invariant structures and topological classification},
author = {Rafael Potrie},
journal= {arXiv preprint arXiv:1802.05291},
year = {2018}
}
Comments
19 pages, 2 figures. Invited paper Dynamical Systems session in ICM 2018. http://www.icm2018.org