2 citations · 4 across the 7 of their papers we have counts for
8 papers
Cubical residual complexes and profinite rigidity of real hyperbolic lattices
Yong Hou
We study profinite rigidity of real hyperbolic lattices, with the main application in dimension three. The basic tool is a profinite version of the dual cube complex of a pair of f…
Accessible CAT groups of critical exponent less than one
Yong Hou
Let be proper CAT and let $Γ\le\Isom(X)$ be finitely generated and discrete. The sharp structural theorem states that, if is accessible over finite subgroups and $δ_X…
The classification of Kleinian groups of Hausdorff dimensions at most one and Burnside's conjecture
Yong Hou
In this paper we provide the complete classification of convex cocompact Kleinian group of Hausdorff dimensions less than In particular, we prove that every convex cocompact K…
On smooth moduli space of Riemann surfaces
Yong Hou
In this paper we study the smooth moduli space of closed Riemann surfaces. This smooth moduli is an infinite cover of the usual moduli space of closed Riemann surfa…
The classification of Kleinian groups of Hausdorff dimensions at most one
Yong Hou
In this paper we provide the complete classification of Kleinian groups of Hausdorff dimensions less than In particular, we prove that every purely loxodromic Kleinian groups…
All finitely generated Kleinian groups of small Hausdorff dimension are classical Schottky groups
Yong Hou
This is the second part of the works on Hausdorff dimensions of Schottky groups. It has been conjectured that the Hausdorff dimensions of nonclassical Schottky groups are strictly…
Kleinian groups of small Hausdorff dimension are classical Schottky groups I
Yong Hou
In this paper we prove that there exists a positive number , such that any 2-generated Kleinian groups with limit set of Hausdorff dimension are classical Schottky groups…
Quasiconformal Rigidity of Negatively Curved Three Manifolds
Yong Hou
In this paper we study the rigidity of infinite volume 3-manifolds with sectional curvature and finitely generated fundamental group. In-particular, we generalize…