4 papers
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…
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…
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…
Growth tightness and genericity for word metrics from injective spaces
Lihuang Ding, Dídac Martínez-Granado, Abdul Zalloum
Mapping class groups are known to admit geometric (proper, cobounded) actions on injective spaces. Starting with such an action, and relying only on geometric arguments, we show th…