147 citations · 468 across the 45 of their papers we have counts for
Showing 2014 · math.DSShow all
2 papers · 2 filters
math.DS2014
Connectedness locus for pairs of affine maps and zeros of power series
Boris Solomyak
We study the connectedness locus N for the family of iterated function systems of pairs of affine-linear maps in the plane (the non-self-similar case). First results on the set N w…
math.DS2014★ 58 cited
Absolute continuity of self-similar measures, their projections and convolutions
Pablo Shmerkin, Boris Solomyak
We show that in many parametrized families of self-similar measures, their projections, and their convolutions, the set of parameters for which the measure fails to be absolutely c…