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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.

168,695 papers · 148 categories

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3 results for “compression-radius”

Discrete p-Density and Compression Radii of Lattice Knotsmath.GT

The paper defines and studies discrete p-density and compression-radius profiles of lattice knots.

problem Understanding geometric properties of lattice knots.

method Develops a framework for discrete p-density and compression-radius profiles of lattice knots, studying them on length-filtered sets and finite move-graph exploration.

result Density and compression-radius values are not monotone, illustrating distinct optimization problems.

lattice knots discrete p-density compression-radius finite move-graph exploration geometric invariants

2026-05-27abs ↗pdf ↗

Geometric densities and compression radii of knot typesmath.GT

The paper analyzes geometric densities and compression radii for knot types.

problem Optimizing geometric quantities associated with knot types.

method Develops a factorization framework for scale-covariant size functionals.

result Different minimizing sequences for density, compression, packing, and ropelength problems.

knot types geometric densities compression radii scale-invariant optimization

2026-04-30abs ↗pdf ↗

Swept-Area Pseudometrics on Ropelength-Filtered Knot Spacesmath.GT

New pseudometrics defined on knot spaces based on curve thickness and length.

problem Rigidity and non-degeneracy of knot spaces under isotopies.

method Swept-area pseudometrics on ropelength-filtered knot spaces.

result Proved non-degeneracy on polygonal strata and exact distance formulas.

knot theory swept area ropelength isotopies rigidity

2026-05-07abs ↗pdf ↗