David Simmons

activity

20242026

collaborators

4 papers

math.LO2026

Gradualist descriptionalist set theory

David Simmons

We introduce a formal language GDST (gradualist descriptionalist set theory) with a family of interpretations indexed by ordinals, as well as a sublanguage NMID (the language of no…

math.NT2025

Twisted Diophantine approximation on manifolds

Victor Beresnevich, David Simmons, Sanju Velani

In twisted Diophantine approximation, for a fixed $m \times n$ matrix $α$ one is interested in sets of vectors $β \in R^{m}$ such that the system of affine…

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\…