8 citations · 11 across the 6 of their papers we have counts for
7 papers
Topological and dimensional properties of univoque bases in double-base expansions
Yuecai Hu, Rafael Alcaraz Barrera, Yuru Zou
Given two real numbers with satisfying , we call a sequence with a -expansion or a double-base expa…
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…
On the specification property and synchronisation of unique -expansions
Rafael Alcaraz Barrera
Given a positive integer and we consider expansions in base for real numbers over the alphabet . In par…
Entropy, topological transitivity, and dimensional properties of unique -expansions
Rafael Alcaraz Barrera, Simon Baker, Derong Kong
Let be a positive integer and We consider expansions of real numbers in base over the alphabet . In particular, we study the set $\mathcal{…
Intrinsic Ergodicity of Open dynamical systems for the doubling map
Rafael Alcaraz Barrera
We give sufficient conditions for intervals such that the associated open dynamical system for the doubling map is intrinsically ergodic. We also show that the set of param…
Topological dynamics of the doubling map with asymmetrical holes
Rafael Alcaraz Barrera
We study the dynamics of the attractor of the doubling map with an asymmetrical hole by associating to each hole an element of the lexicographic world. A description of the topolog…
Topological and Ergodic properties of symmetric subshifts
Rafael Alcaraz Barrera
The family of symmetric one sided subshifts in two symbols given by a sequence is studied. We analyse some of their topological properties such as transitivity, the specificati…