20 citations · 128 across the 39 of their papers we have counts for
46 papers
Computational progress on the unfair 0-1 polynomial Conjecture
Kevin G. Hare
Let be a monic integer polynomial with coefficients or . Write where and are monic polynomials with non-negative real (not necessaril…
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…
Self-similar measures with unusual local dimension properties
Kevin G. Hare
Let be a self-similar measure satisfying the finite type condition. It is known that the set of attainable local dimensions for such a measure is a union of disjoint intervals,…
Non-expansive matrix number systems with bases similar to
Joshua W. Caldwell, Kevin G. Hare, Tomáš Vávra
We study representations of integral vectors in a number system with a matrix base and vector digits. We focus on the case when is similar to , the Jordan block of …
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…