D. Shiu

activity

20162025

collaborators

4 papers

nucl-th2025

Systematic study of the validity of the eikonal model including uncertainties

Daniel Shiu, Chloë Hebborn, Filomena M. Nunes

Nuclear reactions at intermediate beam energies are often interpreted using the eikonal model. In the analysis of complex reaction probes, where few-body reaction methods are neede…

math.NT2025

The Fibonacci numbers are not a Heilbronn set

Daniel Shiu

For a real number $θ$ , let $∥ θ ∥$ denote the distance from $θ$ to the nearest integer. A set of positive integers $H$ is a Heilbronn set if for every $α\in \mathbb…

cs.CR2019

Analysis of Solitaire

Daniel Shiu

The Solitaire cipher was designed by Bruce Schneier as a plot point in the novel Cryptonomicon by Neal Stephenson. The cipher is intended to fit the archetype of a modern stream ci…

math.NT2016

Increasing and decreasing prime gaps

D. K. L. Shiu

Let $p_{n}$ denote the $n$ th prime and $g_{n} := p_{n + 1} - p_{n}$ the $n$ th prime gap. We demonstrate the existence of infinitely many values of $n$ for which $g_{n} > g_{n + 1} > \dots > g_{n + m}$ wi…