5 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, Bastià n 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…
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…
Factor-balancedness, linear recurrence, and factor complexity
Bastià n 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…
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 tha…