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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.

168,742 papers · 148 categories

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0111 · Apr 202419922001200920172026
2 results for Euler-Dierkes-Huisken

The paper proves that certain stationary hypersurfaces in high dimensions are essentially flat.

problem Characterizing stationary hypersurfaces in high-dimensional spaces.
method Analyzing the Euler-Dierkes-Huisken functional to prove the flatness of hypersurfaces.
result Smooth, complete, connected, embedded stationary hypersurfaces in high dimensions are linear.

The paper studies stability and minimizing properties of higher codimensional surfaces in Euclidean space.

problem Stability and minimizing properties of higher codimensional surfaces in Euclidean space.
method Analyzes surfaces associated with the weighted area-functional and proves stability and minimization properties under specific conditions.
result Minimal cones with globally flat normal bundles are ff-stable, and highly singular determinantal varieties and Pfaffian varieties are ff-minimizing.