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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.

168,695 papers · 148 categories

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0111 · Feb 202019922001200920172026
3 results for invertebrates

Novel defects in hyperbolic sheets explain complex wrinkling patterns in nature.

problem Understanding complex wrinkling patterns in thin elastic hyperbolic surfaces.
method Non-Euclidean plate theory and investigation of branch points.
result Branch points are natural defects in hyperbolic sheets, influencing their morphology robustly.

Develops discrete geometry for non-constant curvature surfaces.

problem Modeling surfaces of non-constant curvature, especially with non-constant negative curvature.
method Derived and numerically integrated Lelieuvre formulas for C1,1C^{1,1} hyperbolic surfaces. Proposed iterative and fast marching methods for solving implicit equations and computing geodesic distances.
result Explicit construction of immersions is not provided, but equations are described implicitly.