Wei Rao

collaborators

3 papers

math.CO2026

Dimensional colorful Helly theorems and topological variants

Wei Rao

We prove a dimensional strengthening of the colorful Helly theorem. Let $C_{1}, \dots, C_{d + 1}$ be finite nonempty families of convex sets in $R^{d}$ . If $C_…

math.CO2025

New Helly-type results for discrete boxes: Quantitative colorful and $(p, q)$ -variants

Rahul Gangopadhyay, Alexander Polyanskii, Wei Rao

In 2008, Halman showed that for any finite set $P \subset R^{d}$ and any finite family $B$ of axis-parallel boxes in $R^{d}$ , if the intersection of $P$ and a…

physics.optics2025

Twist Bilayer Photonic slab's Angle-DependentGuided Resonance Analysis based on Multiple Scattering

Wenzhu Xie, Yan Wang, Jingxuan Chen +4

We present an analysis of the transmission spectra of the twisted bilayer photonic slabs using a modified rigorous coupled wave (RCWA) analysis, where the evanescent bases are repl…

Dimensional colorful Helly theorems and topological variants

New Helly-type results for discrete boxes: Quantitative colorful and (p,q)-variants

Twist Bilayer Photonic slab's Angle-DependentGuided Resonance Analysis based on Multiple Scattering

New Helly-type results for discrete boxes: Quantitative colorful and $(p, q)$ -variants