Kevin G. Hare

activity

20032023

most citedOn univoque Pisot numbers

20 citations · 128 across the 39 of their papers we have counts for

collaborators

Showing 2015 · math.DSShow all

3 papers · 2 filters

math.DS2015

Multidimensional self-affine sets: non-empty interior and the set of uniqueness

Kevin G. Hare, Nikita Sidorov

Let $M$ be a $d \times d$ contracting matrix. In this paper we consider the self-affine iterated function system ${M v - u, M v + u}$ , where $u$ is a cyclic vector. Our main result is a…

math.DS2015

Local dimensions of measures of finite type

Kathryn E. Hare, Kevin G. Hare, Kevin R. Matthews

We study the multifractal analysis of a class of equicontractive, self-similar measures of finite type, whose support is an interval. Finite type is a property weaker than the open…

math.DS2015★ 14 cited

Two-dimensional self-affine sets with interior points, and the set of uniqueness

Kevin G. Hare, Nikita Sidorov

Let $M$ be a $2 \times 2$ real matrix with both eigenvalues less than~1 in modulus. Consider two self-affine contraction maps from $R^{2} \to R^{2}$ , \begin{equation*} T_…