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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.

169,181 papers · 148 categories

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2 results for “tripod-cluster”

The Gaussian Double-Bubble Conjecturemath.FA

Researchers prove the least perimeter way to divide space into three parts.

problem Finding the least perimeter way to divide space into three parts.

method Proved using Gaussian measure and isoperimetric minimizers.

result Tripod-clusters are the unique minimizers for dividing space into three parts.

Gaussian measure isoperimetric problem perimeter minimization tripod-cluster

2018-01-28abs ↗pdf ↗

The Gaussian Double-Bubble and Multi-Bubble Conjecturesmath.DG

Proves least Gaussian perimeter decomposition conjectures for 2-3 cells in n-dimensional space.

problem Finding least perimeter ways to divide space into cells of prescribed Gaussian measure.

method Analyzes stable clusters and uses Voronoi cells of equidistant points.

result Simplicial clusters are unique minimizers for 2-3 cells in n-dimensional space.

Gaussian measure isoperimetric inequality Voronoi cells stable clusters least perimeter

2018-05-28abs ↗pdf ↗