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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.

169,341 papers · 148 categories

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5 results for “semicalibrated”

Almgren's type regularity for Semicalibrated Currentsmath.AP

Proves regularity for semicalibrated currents in smooth manifolds.

problem Regularity of semicalibrated currents in smooth manifolds.

method Analogy with Almgren's Theorem for area-minimizing currents, proving singular set dimensionality.

result Singular set of Hausdorff dimension at most \( m-2 \) for semicalibrated currents.

semicalibrated currents Almgren's Theorem Hausdorff dimension smooth manifolds

2015-11-24abs ↗pdf ↗

Regularity theory for

2

-dimensional almost minimal currents III: blowupmath.AP

Study analyzes behavior of almost minimal 2D currents at singular points.

problem Understanding the behavior of almost minimal 2D currents at singular points.

method Analyzes asymptotic behavior of currents in Riemannian manifolds, semicalibrated, and spherical cross sections of 3D area minimizing cones.

result Shows the discreteness of the singular set for the analyzed classes of currents.

almost minimal currents singular points discreteness of singular set Riemannian manifolds semicalibrated

2015-08-22abs ↗pdf ↗

Regularity theory for

2

-dimensional almost minimal currents I: Lipschitz approximationmath.AP

Constructs approximating functions for almost minimal 2D currents.

problem Approximating carefully integral 2D currents with small cylindrical excess.

method Constructs Lipschitz

Q

-valued functions.

result Proves discreteness of singular set for specific 2D currents.

2-dimensional currents integral currents Lipschitz approximation almost minimal discreteness of singular set

2015-08-22abs ↗pdf ↗

Regularity theory for

2

-dimensional almost minimal currents II: branched center manifoldmath.AP

Constructs a branched center manifold for almost minimal 2D currents.

problem Understanding the structure of singular points in almost minimal 2D currents.

method Constructs a branched center manifold near singular points.

result Shows the discreteness of singular set for specific current classes.

almost minimal currents singular points center manifold discreteness of singular set

2015-08-22abs ↗pdf ↗

Uniqueness of tangent cones for

2

-dimensional almost minimizing currentsmath.AP

The paper proves unique tangent cones for 2D almost minimizing currents.

problem Proving uniqueness of tangent cones for 2D almost minimizing currents.

method Unified approach based on White's theorem for area minimizing currents, with modifications.

result Tangent cones are everywhere unique for 2D almost minimizing currents.

tangent cones almost minimizing currents uniqueness rectifiable currents White's theorem

2015-08-21abs ↗pdf ↗