Robustly transitive maps with critical points and large dimensional central spaces.

Tipo

Artículo de journal

Año

2026

Abstract

Given any triplet of positive integers $n \geq 2$ , $m$ and $k$ such that $n = m + k$ , we exhibit a $C^{1}$ robustly transitive endomorphism of $T^{n}$ with persistent critical points in the isotopy class of $F \times I d$ , where $F$ is an expanding map of $T^{m}$ and $I d$ is the identity of $T^{k}$ . Furthermore, if $k$ is small, the map is not only in the isotopy class but in fact a perturbation of $F \times I d$ .

Autores

Juan Carlos Morelli

URL a la publicación

Artículo