20 citations · 128 across the 39 of their papers we have counts for
4 papers · 1 filter
Some properties of even moments of uniform random walks
Kevin G. Hare, Ghislain McKay
We build upon previous work on the densities of uniform random walks in higher dimensions, exploring some properties of the even moments of these densities and extending a result a…
Multidimensional self-affine sets: non-empty interior and the set of uniqueness
Kevin G. Hare, Nikita Sidorov
Let be a contracting matrix. In this paper we consider the self-affine iterated function system , where is a cyclic vector. Our main result is a…
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…
Two-dimensional self-affine sets with interior points, and the set of uniqueness
Kevin G. Hare, Nikita Sidorov
Let be a real matrix with both eigenvalues less than~1 in modulus. Consider two self-affine contraction maps from , \begin{equation*} T_…