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math.GR2026
Growth gaps and exponential genericity in acylindrically hyperbolic groups
Lihuang Ding, Wenyuan Yang
Let be a finitely generated group acting by isometries on a geodesic metric space with two independent strongly contracting WPD elements. We prove that, for every finite genera…
math.GR2026
Sublinear projection tracking in acylindrically hyperbolic groups
Lihuang Ding, Wenyuan Yang
We study projection phenomena in word metrics of finitely generated acylindrically hyperbolic groups. For a loxodromic WPD element acting on a hyperbolic space, we prove that short…
math.GR2024
Growth Gaps for Quotients by Confined Subgroups
Lihuang Ding, Wenyuan Yang
In this paper, we establish growth gaps for quotients by confined subgroups in groups admitting a statistically convex-cocompact action with contracting elements. We also discuss a…