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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.

169,291 papers · 148 categories

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7 results for “quasi-mobius”

Maps between Boundaries of Relatively Hyperbolic Groupsmath.GT

Extends Paulin's result to relatively hyperbolic groups.

problem Proving quasi-isometric equivalence between relatively hyperbolic groups.

method Introducing relative quasi-Mobius maps and using coarsely cusp-preserving quasi-isometries.

result Establishes a homeomorphism between Bowditch boundaries inducing quasi-Mobius maps.

relatively hyperbolic groups Bowditch boundaries quasi-Mobius maps coarsely cusp-preserving quasi-isometries

2024-01-26abs ↗pdf ↗

Quasi-Mobius Homeomorphisms of Morse boundariesmath.GT

This paper explores when homeomorphisms between Morse boundaries of spaces induce quasi-isometries.

problem When does a homeomorphism between Morse boundaries of spaces imply a quasi-isometry?

method Investigates quasi-mobius homeomorphisms and 2-stability conditions.

result A homeomorphism between Morse boundaries of proper, cocompact spaces is induced by a quasi-isometry if and only if it is quasi-mobius and 2-stable.

Morse boundary quasi-isometry homeomorphism quasi-mobius 2-stable

2018-01-14abs ↗pdf ↗

Rigidity for Quasi-Möbius Actions on Fractal Metric Spacesmath.MG

In \cite{BK02}, M. Bonk and B. Kleiner proved a rigidity theorem for expanding quasi-Möbius group actions on Ahlfors $n$ -regular metric spaces with topological dimension $n$ . This led naturally to a rigidity result for quasi-convex geometric actions on CAT $(-1)$ -spaces that can be seen as a metric analog to the "entrop…

2013-08-02abs ↗pdf ↗

Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spacesmath.MG

Study on metric spaces with Möbius self-homeomorphisms and their properties.

problem Characterizing metric spaces with specific homogeneity properties.

method Investigation of homogeneity with Möbius and quasi-Möbius self-homeomorphisms.

result New characterization of snowflakes of boundaries of rank-one symmetric spaces.

metric spaces homogeneity Möbius transformations snowflakes rank-one symmetric spaces

2018-12-08abs ↗pdf ↗

A rank-one CAT(0) group is determined by its Morse boundarymath.GT

CAT(0) spaces' Morse boundaries uniquely identify them.

problem Determining when a homeomorphism of Morse boundaries implies a quasi-isometry.

method Investigates Morse boundaries of cocompact CAT(0) spaces and their homeomorphisms.

result A homeomorphism of Morse boundaries is induced by a quasi-isometry if and only if it is quasi-mobius and 2-stable.

CAT(0) spaces Morse boundaries quasi-isometry homeomorphism hyperbolic-like

2017-07-21abs ↗pdf ↗

Hierarchically hyperbolic groups are determined by their Morse boundariesmath.GT

New result classifies hierarchically hyperbolic groups based on their Morse boundaries.

problem Classifying hierarchically hyperbolic groups using Morse boundaries.

method Generalizing a result on Gromov boundaries to Morse boundaries, showing quasi-isometry if and only if there's a homeomorphism.

result Spaces are quasi-isometric if and only if there's a 2-stable, quasi-möbius homeomorphism between their Morse boundaries.

hierarchically hyperbolic groups Morse boundaries quasi-isometry CAT(0) groups mapping class groups

2018-01-15abs ↗pdf ↗

On Uniformly Perfect Morse Boundariesmath.GR

Uniformly perfect Morse boundaries characterize geometric properties of groups.

problem Characterizing geometric properties of groups using Morse boundaries.

method Introducing and geometrically characterizing uniformly perfect Morse boundaries for proper geodesic metric spaces.

result The Morse boundary of any finitely generated, non-elementary group is uniformly perfect if it is nonempty.

Morse boundaries uniformly perfect geometric properties groups rigidity theorem

2026-02-05abs ↗pdf ↗