Henry W. J. Reeve

activity

20102023

most citedMultifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets

33 citations · 142 across the 20 of their papers we have counts for

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2 papers · 1 filter

math.NT2013★ 18 cited

A Frostman type lemma for sets with large intersections, and an application to Diophantine approximation

Tomas Persson, Henry W. J. Reeve

We consider classes $G^{s} ([0, 1])$ of subsets of $[0, 1]$ , originally introduced by Falconer, that are closed under countable intersections, and such that every set in the…

math.NT2012★ 4 cited

On the Diophantine properties of lambda-expansions

Tomas Persson, Henry W. J. Reeve

For $λ \in (1/2, 1)$ and $α$ , we consider sets of numbers $x$ such that for infinitely many $n$ , $x$ is $2^{- α n}$ -close to some $\sum_{i = 1}^{n} ω_{i} λ^{i}$ , where $ω_{i} \in {0, 1}$ . Thes…