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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.

169,291 papers · 148 categories

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0.3%0.5%0.8%0.4% · Dec 201019922001200920182026
3 results for “Non-Rectifiable”
A simple closed curve in R3\mathbb{R}^3 whose convex hull equals the half-sum of the curve with itselfmath.GN

Simple curve in 3D sums to cube, non-rectifiable.

problem Constructing a simple closed curve in 3D whose convex hull equals half-sum of the curve with itself.
method Constructing a specific curve in R^3 and proving its properties.
result A simple closed curve in R^3 exists whose convex hull equals half-sum of the curve with itself.
Convex HullMinkowski SumSimple Curve3D GeometryNon-Rectifiable
2018-07-22abs ↗pdf ↗
The Unique Tangent Cone Property for Weakly Holomorphic Maps into Projective Algebraic Varietiesmath.DG

Paper proves unique tangent maps for complex maps into algebraic varieties.

problem Proving uniqueness of tangent maps for complex maps into algebraic varieties.
method Developed techniques to prove uniqueness of tangent maps for weakly holomorphic and locally approximable maps.
result Established unique tangent cone property for weakly holomorphic maps into projective algebraic varieties.
tangent coneweakly holomorphic mapsprojective algebraic varietiesunique tangent maps
2021-08-23abs ↗pdf ↗
Applications of Differential Chains to Complex Analysis and Dynamicsmath.FA

This thesis is divided into three parts. In the first part, we give an introduction to J. Harrison's theory of differential chains. In the second part, we apply these tools to generalize the Cauchy theorems in complex analysis. Instead of requiring a piecewise smooth path over which to integrate, we can now do so over …

2010-12-26abs ↗pdf ↗