Robust Transitivity for Endomorphisms

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

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