Highly Influenced

# Robust Transitivity for Endomorphisms

@inproceedings{Lizana2012RobustTF, title={Robust Transitivity for Endomorphisms}, author={C. J. R. Lizana and Enrique Pujals}, year={2012} }

- Published 2012

We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direction, we give sufficient conditions, that cover a large class of examples, for endomorphisms on the n−dimensional torus to be robustly transitive: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belong to an expanding region.