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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.

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3 results for “J. L. Jauregui”

The equivalence of isocapacitary notions of massmath.DG

Equivalence proven for isocapacitary mass notions.

problem Proving equivalence of isocapacitary mass notions.

method Proof of equivalence for G. Huisken's and J. L. Jauregui's isocapacitary mass.

result Equivalence of isocapacitary mass notions proven.

isocapacitary mass equivalence G. Huisken J. L. Jauregui

2025-11-14abs ↗pdf ↗

Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvaturemath.DG

The paper studies nonlinear mass concepts in 3-manifolds with nonnegative scalar curvature.

problem Nonlinear isocapacitary mass in 3-manifolds with nonnegative scalar curvature.

method Derives positive mass theorems and shows mass coincides with ADM mass under mild conditions.

result Nonlinear masses coincide with ADM mass and prove the Penrose inequality.

3-manifolds nonlinear mass scalar curvature positive mass theorem Penrose inequality

2023-05-02abs ↗pdf ↗

Semicontinuity of capacity under pointed intrinsic flat convergencemath.DG

Study semicontinuity of capacity in non-smooth spaces using intrinsic flat convergence.

problem Investigate semicontinuity of capacity in non-smooth spaces.

method Analyze sequences of local integral current spaces converging in the pointed Sormani-Wenger intrinsic flat sense.

result Prove upper semicontinuity of capacity for balls and Lipschitz sublevel sets under volume-preserving convergence.

capacity intrinsic flat convergence non-smooth spaces semicontinuity integral current spaces

2022-04-20abs ↗pdf ↗