26 citations · 56 across the 11 of their papers we have counts for
12 papers
Local entropy theory and descriptive complexity
Udayan B. Darji, Felipe García-Ramos
We investigate local entropy theory, particularly the property of having completely positive entropy (CPE), from a descriptive set-theoretic point of view. We aim to determine desc…
Diameter mean equicontinuity and cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
Mean and diam-mean equicontinuity are dynamical properties that have been of use in the study of non-periodic order. We show that the Pacman automaton is not almost diam-mean equic…
Local non-periodic order and diam-mean equicontinuity on cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
Diam-mean equicontinuity is a dynamical property that has been of use in the study of non-periodic order. Using some type of "local" skew product between a shift and an odometer lo…
On topological models of zero entropy loosely Bernoulli systems
Felipe García-Ramos, Dominik Kwietniak
We provide a purely topological characterisation of uniquely ergodic topological dynamical systems (TDSs) whose unique invariant measure is zero entropy loosely Bernoulli (followin…
Mean equicontinuity and mean sensitivity on cellular automata
Luguis de los Santos Baños, Felipe García-Ramos
We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automato…
Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group
Sebastián Barbieri, Felipe García-Ramos, Hanfeng Li
We provide a unifying approach which links results on algebraic actions by Lind and Schmidt, Chung and Li, and a topological result by Meyerovitch that relates entropy to the set o…
Mean equicontinuity, almost automorphy and regularity
Felipe García-Ramos, Tobias Jäger, Xiangdong Ye
The aim of this article is to obtain a better understanding and classification of strictly ergodic topological dynamical systems with discrete spectrum. To that end, we first deter…
Learning Moment Closure in Reaction-Diffusion Systems with Spatial Dynamic Boltzmann Distributions
Oliver K. Ernst, Tom Bartol, Terrence Sejnowski +1
Many physical systems are described by probability distributions that evolve in both time and space. Modeling these systems is often challenging to due large state space and analyt…
A hierarchy of topological systems with completely positive entropy
Sebastián Barbieri, Felipe García-Ramos
We define a hierarchy of systems with topological completely positive entropy in the context of continuous countable amenable group actions on compact metric spaces. For each count…
When is a dynamical system mean sensitive?
Felipe García-Ramos, Jie Li, Ruifeng Zhang
This article is devoted to study which conditions imply that a topological dynamical system is mean sensitive and which do not. Among other things we show that every uniquely ergod…
Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
Felipe García-Ramos, Brian Marcus
We show that an -topological dynamical system equipped with an invariant ergodic measure has discrete spectrum if and only it is -mean equicontinuous (proven for befo…
Weak forms of topological and measure theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
Felipe García-Ramos
We define weaker forms of topological and measure theoretical equicontinuity for topological dynamical systems and we study their relationships with systems with discrete spectrum…