Classification of partially hyperbolic surface endomorphisms
arXiv:2011.01378
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.
24 pages, 2 figures, amended references