Kevin G. Hare

activity

20032023

most citedOn univoque Pisot numbers

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

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Showing 2022Show all

2 papers · 1 filter

math.CA2022

The Minkowski sum of linear Cantor sets

Kevin G. Hare, Nikita Sidorov

Let $C$ be the classical middle third Cantor set. It is well known that $C + C = [0, 2]$ (Steinhaus, 1917). (Here $+$ denotes the Minkowski sum.) Let $U$ be the set of $z \in [0, 2]$ w…

math.DS2022

Self-similar measures with unusual local dimension properties

Kevin G. Hare

Let $μ$ 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,…