1 citations · 1 across the 3 of their papers we have counts for
10 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…