Rômulo M. Vermersch

activity

20142025

most citedOn the Dynamics of Induced Maps on the Space of Probability Measures

16 citations · 19 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2025

On the entropy of processes generated by quasifactors

Rômulo M. Vermersch

Let $(X, X, μ, T)$ be a measurable dynamical system, where $T$ is a homeomorphism acting on the zero-dimensional compact metric space $X$ , $X$ is the Borel $σ$ -alg…

math.DS2023

Measure-theoretic Uniformly Positive Entropy on the Space of Probability Measures

Rômulo M. Vermersch

For a homeomorphism $T$ on a compact metric space $X$ , a $T$ -invariant Borel probability measure $μ$ on $X$ and a measure-theoretic quasifactor $μ$ of $μ$ , we study the r…

math.DS2020★ 3 cited

Uniformly Positive Entropy of Induced Transformations

Nilson C. Bernardes, Udayan B. Darji, Rômulo M. Vermersch

Let $(X, T)$ be a topological dynamical system consisting of a compact metric space $X$ and a continuous surjective map $T : X \to X$ . By using local entropy theory, we prove that $…

math.DS2014★ 16 cited

On the Dynamics of Induced Maps on the Space of Probability Measures

Nilson C. Bernardes, Rômulo M. Vermersch

For the generic continuous map and for the generic homeomorphism of the Cantor space, we study the dynamics of the induced map on the space of probability measures, with emphasis o…