33 citations · 108 across the 25 of their papers we have counts for
23 papers · 1 filter
Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces
Chaodong Yang, Wenyuan Yang
We provide two new characterizations of geometrically infinite actions on Gromov hyperbolic spaces: one in terms of the existence of escaping geodesics, and the other via the prese…
The growth of the Green function for random walks and Poincar{é} series
Matthieu Dussaule, Wenyuan Yang, Longmin Wang
Given a probability measure on a finitely generated group , the Green function encodes many properties of the random walk associated with . Finding asymptotics…
Uniform exponential growth for groups with proper product actions on hyperbolic spaces
Renxing Wan, Wenyuan Yang
This paper studies the locally uniform exponential growth and product set growth for a finitely generated group acting properly on a finite product of hyperbolic spaces. Under…
Counting double cosets with application to generic 3-manifolds
Suzhen Han, Wenyuan Yang, Yanqing Zou
We study the growth of double cosets in the class of groups with contracting elements, including relatively hyperbolic groups, CAT(0) groups and mapping class groups among others.…
Conformal dynamics at infinity for groups with contracting elements
Wenyuan Yang
This paper develops a theory of conformal density at infinity for groups with contracting elements. We start by introducing a class of convergence boundary encompassing many known…
Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups
Yu-miao Cui, Yue-ping Jiang, Wen-yuan Yang
This paper proves that in a non-elementary relatively hyperbolic group, the logarithm growth rate of any non-elementary subgroup has a linear lower bound by the logarithm of the si…
The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups
Matthieu Dussaule, Wenyuan Yang
The paper studies the Hausdorff dimension of harmonic measures on various boundaries of a relatively hyperbolic group which are associated with random walks driven by a probability…
Croke-Kleiner admissible groups: Property (QT) and quasiconvexity
Hoang Thanh Nguyen, Wenyuan Yang
Croke-Kleiner admissible groups firstly introduced by Croke-Kleiner belong to a particular class of graph of groups which generalize fundamental groups of --dimensional graph ma…
Large quotients of group actions with a contracting element
Zunwu He, Jinsong Liu, Wenyuan Yang
For any proper action of a non-elementary group on a proper geodesic metric space, we show that if contains a contracting element, then there exists a sequence of proper qu…
Quasiconvexity in -manifold groups
Hoang Thanh Nguyen, Hung Cong Tran, Wenyuan Yang
In this paper, we study strongly quasiconvex subgroups in a finitely generated --manifold group . We prove that if is a compact, orientable --manifold that does n…
Generic free subgroups and statistical hyperbolicity
Suzhen Han, Wen-yuan Yang
This paper studies the generic behavior of -tuple elements for in a proper group action with contracting elements, with applications towards relatively hyperbolic group…
Counting conjugacy classes in groups with contracting elements
Ilya Gekhtman, Wen-yuan Yang
In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically convex-cocompact actions with contracting elements. Denot…
Martin boundary covers Floyd boundary
Ilya Gekhtman, Victor Gerasimov, Leonid Potyagailo +1
For finitely supported random walks on finitely generated groups we prove that the identity map on extends to a continuous equivariant surjection from the Martin boundary t…
Genericity of contracting elements in groups
Wenyuan Yang
In this paper, we establish that, for statistically convex-cocompact actions, contracting elements are exponentially generic in counting measure. Among others, the following expone…
Statistically convex-cocompact actions of groups with contracting elements
Wenyuan Yang
This paper presents a study of the asymptotic geometry of groups with contracting elements, with emphasis on a subclass of statistically convex-cocompact (SCC) actions. The class o…
Purely exponential growth of cusp-uniform actions
Wenyuan Yang
Suppose that a countable group admits a cusp-uniform action on a hyperbolic space such that is of divergent type. The main result of the paper is characterizing the…
Statistical hyperbolicity of relatively hyperbolic groups
Jeremy Osborne, Wen-yuan Yang
We prove that a non-elementary relatively hyperbolic group is statistically hyperbolic with respect to every finite generating set. We also establish statistical hyperbolicity for…
Patterson-Sullivan measures and growth of relatively hyperbolic groups
Wenyuan Yang
We prove that for a relatively hyperbolic group G there is a sequence of relatively hyperbolic proper quotients such that their growth rates converge to the growth rate of G. Under…
Growth tightness for groups with contracting elements
Wenyuan Yang
We establish growth tightness for a class of groups acting geometrically on a geodesic metric space and containing a contracting element. As a consequence, any group with nontrivia…
Combination of fully quasiconvex subgroups and its applications
Wenyuan Yang
In this paper, we state two combination theorems for relatively quasiconvex subgroups in a relatively hyperbolic group. Applications are given to the separability of double cosets…
Peripheral structures of relatively hyperbolic groups
Wenyuan Yang
In this paper, we introduce and characterize a class of parabolically extended structures for relatively hyperbolic groups. A characterization of relative quasiconvexity with respe…
Limit sets of relatively hyperbolic groups
Wen-yuan Yang
In this paper, we prove a limit set intersection theorem in relatively hyperbolic groups. Our approach is based on a study of dynamical quasiconvexity of relatively quasiconvex sub…
Separable subgroups have bounded packing
Wen-yuan Yang
In this note, we prove that separable subgroups have bounded packing in ambient groups. The notion bounded packing was introduced by Hruska and Wise and in particular, our result a…