3 papers
math.DS2024
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…
math.DS2022
The stabilized automorphism group of odometers and of Toeplitz subshifts
Jennifer N. Jones-Baro
We characterize the stabilized automorphism group for odometers and Toeplitz subshifts and then prove an invariance property of the stabilized automorphism group of these dynamical…
math.DS2018
Non-Rigid Rank-One Infinite Measures on the Circle
Hindy Drillick, Alonso Espinosa-Dominguez, Jennifer N. Jones-Baro +3
For a class of irrational numbers, depending on their Diophantine properties, we construct explicit rank-one transformations that are totally ergodic and not weakly mixing. We clas…