66 citations · 329 across the 36 of their papers we have counts for
38 papers
The Minkowski sum of linear Cantor sets
Kevin G. Hare, Nikita Sidorov
Let be the classical middle third Cantor set. It is well known that (Steinhaus, 1917). (Here denotes the Minkowski sum.) Let be the set of w…
On a family of Self-Affine IFS whose attractors have a non-fractal top
Kevin G. Hare, Nikita Sidorov
Let and . In this note we prove that for the vast majority of such parameters the top of the attractor of the IFS is th…
Conjugates of Pisot numbers
Kevin G. Hare, Nikita Sidorov
In this paper we investigate the Galois conjugates of a Pisot number , . In particular, we conjecture that for we have $|q'| \geq \frac{\sqr…
Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters
Kevin G. Hare, Tom Kempton, Tomas Persson +1
We introduce a parameter space containing all algebraic integers that are not Pisot or Salem numbers, and a sequence of increasing piecewise continuous function on this…
An infinitely generated self-similar set with positive Lebesgue measure and empty interior
Simon Baker, Nikita Sidorov
Peres and Solomyak asked the question: Do there exist self-similar sets with positive Lebesgue measure and empty interior? This question was answered in the affirmative by Csörnyei…
Open maps: small and large holes with unusual properties
Kevin G. Hare, Nikita Sidorov
Let be a two-sided subshift on a finite alphabet endowed with a mixing probability measure which is positive on all cylinders in . We show that there exist arbitrarily small…