B. Solomyak

activity

20022026

most citedPure Point Dynamical and Diffraction Spectra

147 citations · 468 across the 45 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019

Hölder regularity for the spectrum of translation flows

Alexander I. Bufetov, Boris Solomyak

The paper is devoted to generic translation flows corresponding to Abelian differentials on flat surfaces of arbitrary genus $g \geq 2$ . These flows are weakly mixing by the Avila-Fo…

math.DS2019

Fourier decay for self-similar measures

Boris Solomyak

We prove that, after removing a zero Hausdorff dimension exceptional set of parameters, all self-similar measures on the line have a power decay of the Fourier transform at infinit…

math.DS2019

Diophantine property of matrices and attractors of projective iterated function systems in $RP^{1}$

Boris Solomyak, Yuki Takahashi

We prove that almost every finite collection of matrices in $G L_{d} (R)$ and $S L_{d} (R)$ with positive entries is Diophantine. Next we restrict ourselves to the case $…

Hölder regularity for the spectrum of translation flows

Fourier decay for self-similar measures

Diophantine property of matrices and attractors of projective iterated function systems in RP1

Diophantine property of matrices and attractors of projective iterated function systems in $RP^{1}$