8 papers
Curvature Diffusion of Inverse-weight Lin--Lu--Yau Ricci Flow on Finite Trees
Shuliang Bai, Bobo Hua
We study the inverse-weight Lin--Lu--Yau Ricci flow on finite trees, and prove the convergence of the curvature on every edge via its diffusion equation. Moreover, the limiting cur…
Edge Subdivision and the Perron Eigenvalue of Tree Ricci Matrices
Shuliang Bai, Haoxuan Cheng, Bobo Hua
The Ricci matrix of a finite tree encodes its discrete Einstein metrics via the Perron eigenvector, with Lin-Lu-Yau's Ollivier Ricci curvature: . We show t…
Spectral Monotonicity under Leaf Attachment and Limiting Behavior in Discrete Einstein Trees
Shuliang Bai, Haoxuan Cheng, Bobo Hua
Let be the Ricci matrix of a finite tree introduced in \cite{BaiChengHua2026}, the largest eigenvalue determines the sign of a discrete Einstein metric cu…
Discrete Einstein metrics on trees
Shuliang Bai, Haoxuan Cheng, Bobo Hua
We establish the existence and uniqueness of discrete Einstein metrics on trees under Lin-Lu-Yau Ricci curvature using Perron-Frobenius theory. We establish a sharp upper bound for…
Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
Huabin Ge, Bobo Hua, Hao Yu +1
In his seminal work \cite{Ri96}, Rivin characterized finite ideal polyhedra in three-dimensional hyperbolic space. However, the characterization of infinite ideal polyhedra, as pro…
Combinatorial Ricci flows on infinite disk triangulations
Huabin Ge, Bobo Hua, Puchun Zhou
In this paper, we introduce combinatorial Ricci flows (CRFs in short) in Euclidean and hyperbolic background geometries on infinite triangulations of the open disk, which are discr…
Asymptotic behavior of discrete Schrödinger equations on the hexagonal triangulation
Huabin Ge, Bobo Hua, Longsong Jia +1
In this article, we prove the decay estimate for the discrete Schrödinger equation (DS) on the hexagonal triangulation. The dispersive decay rate is $\lef…
The rigidity of Doyle circle packings on the infinite hexagonal triangulation
Bobo Hua, Puchun Zhou
Peter Doyle conjectured that locally univalent circle packings on the hexagonal lattice only consist of regular hexagonal packings and Doyle spirals, which is called the Doyle conj…