B. Solomyak

collaborators

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.DS2025

Fourier decay and absolute continuity for typical homogeneous self-similar measures in $R^{d}$ for $d \geq 3$

Boris Solomyak

We consider iterated function systems (IFS) in $R^{d}$ for $d \geq 3$ of the form ${f_{j} (x) = I^» O x + a_{j}}_{j = 0}^{m}$ , with $a_{0} = 0$ and $m \geq 1$ . Here $I^» \in (0, 1)$ …

math.DS2025

Local spectral estimates and quantitative weak mixing for substitution $Z$ -actions

Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak

The paper investigates HÃ¶lder and log-HÃ¶lder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed t…

Quantitative weak mixing for typical Salem substitution suspension flows

Fourier decay and absolute continuity for typical homogeneous self-similar measures in Rd for d≥3

Local spectral estimates and quantitative weak mixing for substitution Z-actions

Fourier decay and absolute continuity for typical homogeneous self-similar measures in $R^{d}$ for $d \geq 3$

Local spectral estimates and quantitative weak mixing for substitution $Z$ -actions