2 papers
math.GR2025
Percolation in acylindrically hyperbolic groups
Inhyeok Choi, Donggyun Seo
Let be an acylindrically hyperbolic group. We prove that Bernoulli bond percolation on every Cayley graph of has a nonuniqueness phase, in which there are infinitely many i…
math.GR2025
Acylindrically hyperbolic groups and counting problems
Inhyeok Choi
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 autom…