Alex Zamudio Espinosa

activity

20212024

collaborators

3 papers

math.NT2024

Counting and Hausdorff measures for integers and $p$ -adic integers

Davi Lima, Alex Zamudio Espinosa

In this work, we aim to advance the development of a fractal theory for sets of integers. The core idea is to utilize the fractal structure of $p$ -adic integers, where $p$ is a pri…

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

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…

Counting and Hausdorff measures for integers and p-adic integers

Kneading Theory for Iteration of Monotonous Functions on the Real Line

Stable intersections of regular conformal Cantor sets with large Hausdorff dimensions

Counting and Hausdorff measures for integers and $p$ -adic integers