8 citations · 19 across the 11 of their papers we have counts for
11 papers
Topological weak mixing for certain linear involutions of hyperelliptic type
Felipe Arbulú, Bastián Espinoza, Alejandro Maass
A linear involution is an injective piecewise isometry defined on a pair of disjoint intervals. They are defined by a combinatorial data given by a generalized permutation and a le…
Symbols frequencies in the Thue--Morse word in base and related conjectures
Julien Cassaigne, Bastiàn Espinoza, Michel Rigo +1
We study a binary Thue--Morse-type sequence arising from the base- expansion of integers, an archetypal automatic sequence in a rational base numeration system. Because the se…
Factor-balancedness, linear recurrence, and factor complexity
Bastiàn Espinoza, Pierre Popoli, Manon Stipulanti
In the study of infinite words, various notions of balancedness provide quantitative measures for how regularly letters or factors occur, and they find applications in several area…
Continuous eigenvalues of minimal subshifts via S-adic representations and coboundaries
Valérie Berthé, Paulina Cecchi-Bernales, Bastián Espinoza
We provide characterizations of continuous eigenvalues for minimal symbolic dynamical systems. These characterizations rely on a description of the system in terms of -adic stru…
Higgs-like inflation in scalar-torsion gravity in light of ACT-SPT-DESI constraints
Nitesh Kumar, Giovanni Otalora, Rodrigo Reyes +3
We study Higgs-like inflation in the framework of scalar-torsion gravity, focusing on the general class of theories in which gravitation is mediated by torsion rather than…
Eigenvalues and the stabilized automorphism group
Bastián Espinoza, Jennifer N. Jones-Baro
We study the stabilized automorphism group of minimal and, more generally, certain transitive dynamical systems. Our approach involves developing new algebraic tools to extract inf…
The Jacobs--Keane theorem from the $\cS$-adic viewpoint
Felipe Arbulú, Fabien Durand, Bastián Espinoza
In the light of recent developments of the -adic study of subshifts, we revisit, within this framework, a well-known result on Toeplitz subshifts due to Jacobs--Keane…
The structure of low complexity subshifts
Bastián Espinoza
An idea that became unavoidable to study zero entropy symbolic dynamics is that the dynamical properties of a system induce in it a combinatorial structure. An old problem addressi…
On symbolic factors of -adic subshifts of finite topological rank
Bastián Espinoza
This paper studies several aspects of symbolic factors of -adic subshifts of finite alphabet rank. First, we address a problem raised in [DDPM20] about the topological…
Symbolic factors of -adic subshifts of finite alphabet rank
Bastián Espinoza
This paper studies several aspects of symbolic ({\em i.e.}\ subshift) factors of -adic subshifts of finite alphabet rank. First, we address a problem raised in [DDPM20…
On the automorphism group of minimal S-adic subshifts of finite alphabet rank
Bastián Espinoza, Alejandro Maass
It has been recently proved that the automorphism group of a minimal subshift with non-superlinear word complexity is virtually [DDPM15, CK15]. In this article we exte…