On-device research index

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.

168,695 papers · 148 categories

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3 results for “affine-additive”

Hyperbolicity of the sub-Riemannian affine-additive groupmath.MG

The affine-additive group is hyperbolic with a non-vanishing 4-capacity.

problem Characterizing the hyperbolicity of the affine-additive group.

method Proving local 4-Ahlfors regularity and hyperbolicity using a left-invariant metric and measure.

result The affine-additive group is hyperbolic with a non-vanishing 4-capacity.

affine-additive group hyperbolicity sub-Riemannian metric Ahlfors regularity quasiconformal equivalence

2024-07-05abs ↗pdf ↗

Stretch maps on the affine-additive groupmath.DG

New stretch maps minimize distortion in geometric group theory.

problem Finding optimal maps in geometric group theory.

method Proving minimizers using modulus of curve families and MSP.

result Stretch maps are minimizers of mean quasiconformal distortion.

stretch maps affine-additive group mean quasiconformal distortion modulus of curve families minimal stretching property

2024-11-20abs ↗pdf ↗

Horizontal curvatures of surfaces in 3D contact sub-Riemannian Lie groupsmath.DG

Study on curvatures of surfaces in specific Lie groups.

problem Analyzing curvatures of surfaces in 3D contact sub-Riemannian Lie groups.

method Riemannian approximation scheme to derive formulas for curvatures.

result Classification of surfaces with constant horizontal curvatures.

curvatures Lie groups sub-Riemannian Heisenberg group affine-additive

2026-03-09abs ↗pdf ↗