3 papers
math.DS2026
Quantitative weak mixing for typical Salem substitution suspension flows
Juan Marshall-Maldonado, Boris Solomyak
The paper investigates quantitative weak mixing of Salem substitutions flows. We prove that for a substitution whose substitution matrix is irreducible over the rationals and the d…
math.DS2024
Quantitative weak mixing of self-affine tilings
Juan Marshall-Maldonado
We study the regularity of spectral measures of dynamical systems arising from a translation action on tilings of substitutive nature. The results are inspired in the work of Bufet…
math.DS2024
Local spectral estimates and quantitative weak mixing for substitution -actions
Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak
The paper investigates Hölder and log-Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed tha…