David Simmons

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20242026

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math.NT2024

Hausdorff dimension of differences of badly approximable sets

Dorsa Hatefi, David Simmons

The set of badly approximable numbers, Bad, is known to be winning for Schmidt's game and hence has full Hausdorff dimension. It is also known that the set of inhomogeneously badly…

math.DS2024

Shrinking targets versus recurrence: the quantitative theory

Jason Levesley, Bing Li, David Simmons +1

Let $X = [0, 1]$ , and let $T : X \to X$ be an expanding piecewise linear map sending each interval of linearity to $[0, 1]$ . For $ψ : N \to R_{\geq 0}$ , $x \in X$ , and $N\in\…