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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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5 results for “quasi-median”

Factor system for graphs and combinatorial HHSmath.GT

Extends graph factor system to quasi-median graphs.

problem Constraint relaxation for combinatorial HHS machinery.

method Relaxing domain constraints on combinatorial HHS machinery and extending factor system to quasi-median graphs.

result Factor system applied to quasi-median graphs.

graph theory combinatorial HHS quasi-median graphs CAT(0) cube complex

2024-09-13abs ↗pdf ↗

Relative numbers of ends and quasi-median graphsmath.GR

Characterizes ends and coends of graph pairs using quasi-median graphs.

problem Understanding the number of ends and coends in graph pairs.

method Characterizes ends and coends using quasi-median graphs.

result Characterizes ends and coends of graph pairs

(G,H)

in terms of quasi-median graphs.

ends coends quasi-median graphs Schreier graphs CAT(0) cube complexes

2026-04-08abs ↗pdf ↗

Infinite graph product of groups I: Geometry of the extension graphmath.GR

Study the geometry of graph product extension graphs.

problem Properties of graph products.

method Introduce and study the extension graph of graph products of groups.

result Extension graph is isomorphic to crossing graph of a quasi-median graph and exhibits asymptotic dimension similar to quasi-trees.

graph products extension graph asymptotic dimension quasi-median graph hyperbolicity

2024-09-14abs ↗pdf ↗

Cubulating Infinity in Hierarchically Hyperbolic Spacesmath.GR

We prove a geometric model for HHS hierarchies as CAT(0) cube complexes.

problem Modeling hierarchically hyperbolic spaces as cube complexes.

method Prove quasi-median quasi-isometry between hulls and cubical models.

result Hierarchical boundaries are locally modeled by CAT(0) cube complexes.

hierarchically hyperbolic spaces CAT(0) cube complexes hierarchical hulls quasi-median boundary isomorphism

2023-08-25abs ↗pdf ↗

Asymptotic geometry of lamplighters over one-ended groupsmath.GR

Classifies quasi-isometry types of lamplighter groups over one-ended groups.

problem Classifying the quasi-isometry types of lamplighter groups over one-ended groups.

method New geometric interpretation of lamplighter groups using quasi-median spaces.

result Complete classification of quasi-isometry types of wreath products

F \wr H

lamplighter groups quasi-isometry one-ended groups wreath products quasi-median spaces

2021-05-11abs ↗pdf ↗