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 2016 · math.DSShow all

3 papers · 2 filters

math.DS2016★ 9 cited

A lower bound for the dimension of Bernoulli convolutions

Kevin G. Hare, Nikita Sidorov

Let $β \in (1, 2)$ and let $H_{β}$ denote Garsia's entropy for the Bernoulli convolution $μ_{β}$ associated with $β$ . In the present paper we show that $H_{β} > 0.82$ for all $β \in (1, 2)$ an…

math.DS2016

Local dimensions of measures of finite type on the torus

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

The structure of the set of local dimensions of a self-similar measure has been studied by numerous mathematicians, initially for measures that satisfy the open set condition and,…

math.DS2016

Local dimensions of measures of finite type II - Measures without full support and with non-regular probabilities

Kathryn E. Hare, Kevin G. Hare, Michael Ka Shing Ng

Consider a sequence of linear contractions $S_{j} (x) = ϱ x + d_{j}$ and probabilities $p_{j} > 0$ with $\sum p_{j} = 1$ . We are interested in the self-similar measure $μ=\sum p_{j}μ\…