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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.

169,096 papers · 148 categories

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0111 · Jun 201719922001200920182026
3 results for nanotubes

Novel symmetry found in nanocarbons' discrete principal curvature structure.

problem Identifying novel symmetries in nanocarbons' geometric structures.
method First-principles calculations and discrete geometry analysis.
result Discovery of a novel symmetry (pre-constant discrete principal curvature) in nanocarbons.

This thesis explores geometric properties of curves and their applications in quantum mechanics.

problem Characterizing spherical curves and understanding quantum dynamics of constrained particles.
method Developing Rotation Minimizing frames and applying them to spherical curves and quantum mechanics.
result RM frames provide a new approach to characterize spherical curves and study quantum dynamics.