5 papers · 1 filter
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…
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…
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…
Lyapunov exponents of the spectral cocycle for topological factors of bijective substitutions on two letters
Juan Marshall-Maldonado
The present paper explores the spectral cocycle, defined by A. Bufetov and B. Solomyak, in the special case of bijective substitutions on two letters, the most prominent example be…
Modulus of continuity for spectral measures of suspension flows over Salem type substitutions
Juan Marshall-Maldonado
We study the spectrum of the self-similar suspension flows of sub-shifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number…