J. Morelli

activity

20202025

collaborators

3 papers

math.DS2025

Robustly transitive maps of $T^{n}$ with large dimensional central spaces

Juan C. Morelli

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 poi…

math.DS2021

High dimensional robustly singular maps that are $C^{1}$ robustly transitive

Juan Carlos Morelli

We improve previous results by exhibiting a construction that contains all known examples. A suficient condition for the existence of robustly transitive maps displaying singularit…

math.DS2020

A persistently singular map of $T^{n}$ that is $C^{1}$ robustly transitive

Juan C. Morelli Ramírez

Consider the set $E$ of endomorphisms of the n-torus endowed with the $C^{1}$ topology. A point in $E$ that is persistently singular and robustly transitive is exhibited.

Robustly transitive maps of Tn with large dimensional central spaces

High dimensional robustly singular maps that are C1 robustly transitive

A persistently singular map of Tn that is C1 robustly transitive

Robustly transitive maps of $T^{n}$ with large dimensional central spaces

High dimensional robustly singular maps that are $C^{1}$ robustly transitive

A persistently singular map of $T^{n}$ that is $C^{1}$ robustly transitive