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22 papers · 1 filter
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…
Combinatorics of the paths towards synchronization
A España, X Leoncini, E Ugalde
In this paper, we introduce a codification of the paths towards synchronization for synchronizing flows defined over a network. The collection of paths toward synchronization defin…
Chaotic sets and Hausdorff dimension for Lüroth expansions
Rafael Alcaraz Barrera, Gerardo González Robert
We provide new similarities between regular continued fractions and Lüroth series in terms of topological dynamics and Hausdorff dimension. In particular, we establish a complete a…
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 the correspondence between Subshifts of Finite Type and Statistical Mechanics Models
Luis Armando Corona, Raul Salgado-Garcia, Edgardo Ugalde
R. Burton and J. Steif developed a strategy to construct examples of strongly irreducible subshifts of finite type admitting several measures of maximal entropy. This strategy expl…