On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

Trend · papers per month

count % of corpus

2 results for “Rupert”

Two Sufficient Conditions for a Polyhedron to be (Locally) Rupertmath.MG

Polyhedra can be Rupert if they can be slightly rotated to fit inside each other.

problem Proving that every convex polyhedron can be Rupert.

method Developed two sufficient conditions for a polyhedron to be Rupert, involving small rotations.

result Found two conditions for a polyhedron to be Rupert, simplifying the proof process.

Polyhedra Rupert Convex Local Passage Small Rotation

2022-08-27abs ↗pdf ↗

A note on the existence of nontrivial zero modes on Riemannian manifoldsmath.DG

The study proves conditions for nontrivial solutions on Riemannian manifolds.

problem Conditions for nontrivial solutions to the Dirac equation on Riemannian manifolds.

method Proves a necessary criterion using the Yamabe invariant and Sobolev constant.

result Sharp conditions on the sphere for nontrivial solutions.

Riemannian manifolds Dirac equation Yamabe invariant Sobolev constant nontrivial solutions

2025-03-03abs ↗pdf ↗