9 papers
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…
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…
Boundary actions of Bass-Serre Trees and the applications to -algebras
Xin Ma, Daxun Wang, Wenyuan Yang
In this paper, we study Bass-Serre theory from the perspectives of -algebras and topological dynamics. In particular, we investigate the actions of fundamental groups of graph…
An extreme boundary of acylindrically hyperbolic groups
Wenyuan Yang
We prove that every acylindrically hyperbolic group admits a minimal and extremely proximal action on a compact metrizable space. If there are no nontrivial finite normal subgroups…
Genericity of sublinearly Morse directions in general metric spaces
Yulan Qing, Wenyuan Yang
In this paper, we show that for a proper statistically convex-cocompact action on a proper geodesic metric space, the sublinearly Morse boundary has full Patterson-Sullivan measure…
Boundary actions of CAT(0) spaces: topological freeness and applications to -algebras
Xin Ma, Daxun Wang, Wenyuan Yang
In this paper, we study topological dynamics on the visual boundary and several combinatorial boundaries associated to spaces. Through verifying the freenes…