Robust transitivity for endomorphisms admitting critical points-Reference-Cited by-同舟云学术

Robust transitivity for endomorphisms admitting critical points

Published:2015-10-14 Issue:3 Volume:144 Page:1235-1250
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Iglesias J.,Lizana C.,Portela A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-03/S0002-9939-2015-12799-2/S0002-9939-2015-12799-2.pdf

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