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Acylindrically hyperbolic groups and counting problems

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arxiv 2504.20985 v1 pith:B57CIGY6 submitted 2025-04-29 math.GR math.GT

Inhyeok Choi This is my paper · ORCID
classification math.GRmath.GT
keywords acylindricallygenericgroupgroupshyperbolicouterapplicationautomorphism
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We show that Morse elements are generic in acylindrically hyperbolic groups. As an application, we observe that fully irreducible outer automorphisms are generic in the outer automorphism group of a finite-rank free group.

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Cited by 1 Pith paper

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  1. Genericity of hyperbolic 3-manifolds via Dehn surgery

    math.GT 2026-07 accept novelty 6.0 of 10

    A counting measure on braids and Dehn fillings shows that generic links and generic closed orientable 3-manifolds are hyperbolic.

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