5 citations · 11 across the 6 of their papers we have counts for
6 papers
Local entropy theory and applications
Felipe García-Ramos, Hanfeng Li
This paper contains a survey about recent developments in the local entropy theory for topological dynamical systems and continuous group actions, with particular emphasis on the c…
Local mean dimension theory for sofic group actions
Felipe García-Ramos, Yonatan Gutman
Using a local perspective, we introduce \textit{mean dimension pairs} and give sufficient conditions of when every non-trivial factor of a continuous group action of a sofic group…
Transcendence and normality of complex numbers via Hurwitz continued fractions
Felipe García-Ramos, Gerardo González Robert, Mumtaz Hussain
We study the topological, dynamical, and descriptive set theoretic properties of Hurwitz continued fractions. Hurwitz continued fractions associate an infinite sequence of Gaussian…
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…
Measures of maximal entropy of bounded density shifts
Felipe García-Ramos, Ronnie Pavlov, Carlos Reyes
We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift…
Measure-theoretic sequence entropy pairs and mean sensitivity
Felipe García-Ramos, Victor Muñoz-López
We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using mean sensitivity. This solves an open question mentioned by Li and Yu. As a conse…