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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.

168,657 papers · 148 categories

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2 results for “mateability”

Combining cusped triangle groups with Blaschke products: commensurable matingsmath.DS

New method proves mateability of triangle groups with Blaschke products.

problem Proving mateability of triangle groups with Blaschke products.

method Associating two piecewise analytic circle maps to the triangle group, mating these with Blaschke products, and constructing a common lift.

result Proves mateability of all cusped triangle groups with suitable Blaschke products.

triangle groups Blaschke products mateability Fuchsian groups conformal matings

2026-07-08abs ↗pdf ↗

Combining Rational maps and Kleinian groups via orbit equivalencemath.DS

New framework mated Kleinian groups with complex polynomials, revealing unique group properties.

problem Mating Kleinian groups with complex polynomials dynamics.

method Orbit equivalence framework for holomorphic mating, focusing on Fuchsian groups and higher Bowen-Series maps.

result Only torsion-free Fuchsian groups can be mated, with specific properties of Bowen-Series maps.

orbit equivalence Kleinian groups Fuchsian groups holomorphic mating Teichmüller space

2021-03-01abs ↗pdf ↗