ROBUST TRANSITIVITY FOR ENDOMORPHISMS

Enrique Pujals | Lizana, Cristina

Keywords:

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.

Anexos:

• Lizana-Pujals-W1856.pdf