3 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.NT2026
Twisted Diophantine approximation on manifolds
Victor Beresnevich, David Simmons, Sanju Velani
In twisted Diophantine approximation, for a fixed matrix one is interested in sets of vectors such that the system of affi…
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…