Transitive endomorphisms with critical points
Dynamical Systems
2017-02-10 v2
Abstract
We show that a non-wandering endomorphism of the torus with invertible linear part without invariant directions and for which the critical points are in some sense generic is transitive. This improves a result of Andersson by allowing critical points and improving the volume preserving assumption.
Cite
@article{arxiv.1608.06921,
title = {Transitive endomorphisms with critical points},
author = {Wagner Ranter},
journal= {arXiv preprint arXiv:1608.06921},
year = {2017}
}