David Simmons

activity

20122022

most citedGeometry and dynamics in Gromov hyperbolic metric spaces: With an emphasis on non-proper settings

44 citations · 231 across the 34 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

4 papers · 2 filters

math.NT2014★ 6 cited

An analogue of a theorem of Kurzweil

David Simmons

A theorem of Kurzweil ('55) on inhomogeneous Diophantine approximation states that if $θ$ is an irrational number, then the following are equivalent: (A) for every decreasing posit…

math.NT2014

Extrinsic Diophantine approximation on manifolds and fractals

Lior Fishman, David Simmons

Fix $d \in N$ , and let $S \subseteq R^{d}$ be either a real-analytic manifold or the limit set of an iterated function system (for example, $S$ could be the Cantor set or…

math.NT2014

Intrinsic Diophantine approximation on quadric hypersurfaces

Lior Fishman, Dmitry Kleinbock, Keith Merrill +1

We consider the question of how well points in a quadric hypersurface $M \subset R^{d}$ can be approximated by rational points of $Q^{d} \cap M$ . This contrasts with the m…

math.NT2014

Unconventional height functions in simultaneous Diophantine approximation

Lior Fishman, David Simmons

Simultaneous Diophantine approximation is concerned with the approximation of a point $x \in R^{d}$ by points $r \in Q^{d}$ , with a view towards jointly min…