Sergio Romaña

activity

20162024

most citedDensity of the level sets of the metric mean dimension for homeomorphisms

4 citations · 8 across the 10 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.DS2022★ 1 cited

Hölder continuous maps on the interval with positive metric mean dimension

Jeovanny M. Acevedo, Sergio Romaña, Raibel Arias

Fix a compact metric space $X$ with finite topological dimension. Let $C^{0} (X)$ be the space of continuous maps on $X$ and $H^{α} (X)$ the space of $α$ -Hölder continuous maps on $X$ …

math.NT2022

Fractal dimensions of the Markov and Lagrange spectra near $3$

Harold Erazo, Carlos Gustavo Moreira, Rodolfo Gutiérrez-Romo +1

The Lagrange spectrum $L$ and Markov spectrum $M$ are subsets of the real line with complicated fractal properties that appear naturally in the study of Diophan…

math.DS2022★ 4 cited

Density of the level sets of the metric mean dimension for homeomorphisms

Jeovanny de Jesus Muentes Acevedo, Sergio Romaña Ibarra, Raibel Arias Cantillo

Let $N$ be an $n$ -dimensional compact riemannian manifold, with $n \geq 2$ . In this paper, we prove that for any $α \in [0, n]$ , the set consisting of homeomorphisms on $N$ with lower…

Hölder continuous maps on the interval with positive metric mean dimension

Fractal dimensions of the Markov and Lagrange spectra near 3

Density of the level sets of the metric mean dimension for homeomorphisms

Fractal dimensions of the Markov and Lagrange spectra near $3$