3 papers
math.GR2026
Growth gaps and exponential genericity in acylindrically hyperbolic groups
Lihuang Ding, Wenyuan Yang
We prove that, for every finite generating set of an acylindrically hyperbolic group, the set of non-WPD elements has strictly smaller exponential growth rate. Equivalently, WPD el…
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.GT2025
Growth tightness and genericity for word metrics from injective spaces
Lihuang Ding, DÃdac MartÃnez-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…