Classification of partially hyperbolic surface endomorphisms
Dynamical Systems
2020-11-09 v2
Abstract
We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic centre annuli. This completes a classification of partially hyperbolic surface endomorphisms.
Cite
@article{arxiv.2011.01378,
title = {Classification of partially hyperbolic surface endomorphisms},
author = {Layne Hall and Andy Hammerlindl},
journal= {arXiv preprint arXiv:2011.01378},
year = {2020}
}
Comments
24 pages, 2 figures, amended references