Alex Zamudio Espinosa

activity

20212024

most citedStable intersections of regular conformal Cantor sets with large Hausdorff dimensions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.DSShow all

2 papers · 1 filter

math.DS2022

Kneading Theory for Iteration of Monotonous Functions on the Real Line

Ermerson Araujo, Alex Zamudio Espinosa

We construct a version of kneading theory for families of monotonous functions on the real line. The generality of the setup covers two classical results from Milnor-Thurston's kne…

math.DS2021★ 1 cited

Stable intersections of regular conformal Cantor sets with large Hausdorff dimensions

Hugo Araújo, Carlos Gustavo Moreira, Alex Zamudio Espinosa

In this paper we prove that among pairs $K, K^{'} \subset C$ of conformal dynamically defined Cantor sets with sum of Hausdorff dimensions $H D (K) + H D (K^{'}) > 2$ , there is an open…