2 citations · 4 across the 6 of their papers we have counts for
6 papers
Geometry of Unimodular Random Hyperbolic Polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We develop a geometric and probabilistic theory of unimodular random infinite trivalent hyperbolic polyhedra in , allowing ordinary, ideal, and hyperideal vertices. O…
Unimodular random ideal hyperbolic polyhedra: geometric characteristics and random walks
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We initiate a systematic study of unimodular random infinite ideal hyperbolic polyhedra in three-dimensional hyperbolic space, developing a geometric and probabilistic theory of th…
On the Volume Conjecture for hyperbolic Dehn-filled 3-manifolds along the twist knots
Huabin Ge, Yunpeng Meng, Chuwen Wang +1
For a twist knot , let be the closed -manifold obtained by doing Dehn-filling along . In this article, we prove that Chen-Yang's…
On uniform estimates for form fully nonlinear partial differential equations on compact Hermitian manifolds
Nikita Klemyatin, Shuang Liang, Chuwen Wang
We obtain a priori estimate for a general class of form fully nonlinear partial differential equations on compact Hermitian manifolds. Our method relies on the l…
On the modulus of continuity of solutions to complex Monge-Ampère equations
Bin Guo, Duong H. Phong, Freid Tong +1
In this paper, we prove a uniform and sharp estimate for the modulus of continuity of solutions to complex Monge-Ampère equations, using the PDE-based approach developed by the fir…
On estimates for Monge-Ampère and Hessian equations on nef classes
Bin Guo, Duong H. Phong, Freid Tong +1
The PDE approach developed earlier by the first three authors for estimates for fully non-linear equations on Kähler manifolds is shown to apply as well to Monge-Ampère…