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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.

168,742 papers · 148 categories

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3 results for “tangle-free”

The tangle-free hypothesis on random hyperbolic surfacesmath.GT

Random hyperbolic surfaces are mostly tangle-free, with geometric implications.

problem Understanding the structure of random hyperbolic surfaces.

method Introduced and analyzed L-tangle-free compact hyperbolic surfaces.

result Random surfaces are (a log g)-tangle-free for any a < 1, almost optimal.

random hyperbolic surfaces tangle-free geometric consequences Weil-Petersson probability measure closed geodesics

2020-08-21abs ↗pdf ↗

Tangle free permutations and the Putman-Wieland property of Random coversmath.GT

Random covers of surfaces have tangle-free monodromy and the Putman-Wieland property.

problem Understanding the properties of random covers of surfaces.

method Analyzing the fraction of degree

n

covers of a surface with specific properties as

n

increases.

result The fraction of degree

n

covers of a surface with the Putman-Wieland property tends to 1 as

n

approaches infinity.

random covers surface topology Putman-Wieland property monodromy tangle-free

2024-02-29abs ↗pdf ↗

A Moebius inversion formula to discard tangled hyperbolic surfacesmath.GT

Formula removes geometric patterns from random hyperbolic surfaces.

problem Conditioning on tangle-free surfaces to avoid rare geometric patterns.

method Developed a Moebius inversion formula to integrate tangle-free surfaces.

result Significantly reduces the number of local topological types of short geodesics.

hyperbolic surfaces tangles Moebius inversion geometric patterns topological types

2024-01-03abs ↗pdf ↗