Robust transitivity for endomorphisms admitting critical points

Iglesias, J.; Lizana, C.; Portela, A.

doi:10.1090/proc/12799

Robust transitivity for endomorphisms admitting critical points
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by J. Iglesias, C. Lizana and A. Portela PDF

Proc. Amer. Math. Soc. 144 (2016), 1235-1250 Request permission

Abstract:

We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different types of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary conditions for robust transitivity in this setting.

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