Aijin Lin

collaborators

4 papers

math.GT2026

Circle Pattern Theorem for Quasi-simplicial Triangulated Surfaces

Aijin Lin, Qingyi Liu

The Circle Pattern Theorem characterizes the existence and rigidity of circle patterns with prescribed intersection angles on simplicial triangulations of closed surfaces. In this…

math.DG2026

The character of ideal circle patterns

Chang Li, Aijin Lin, Liangming Shen

Let $S$ be an oriented closed surface with a cellular decomposition $D$ and a weight $I^¦ \in (0, I ¨ )$ . It is crucial to determine when $S$ supports an ideal $D$ -t…

math.DG2025

Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns

Aijin Lin, Longxiang Wu

Ge in his thesis \cite{Ge-thesis} introduced the combinatorial Calabi flows and established the long time existence and convergence of solutions to the flows in both hyperbolic and…

math.DG2025

Branched $I^\pm$ -combinatorial Ricci flows on closed surfaces with Euler characteristic $I ¨ \leq 0$

Wenjun Li, Rongyuan Liu, Guohao Chen +1

In this paper we introduce the branched $I^\pm$ -flows on closed surfaces with Euler characteristic $Ï\leq 0$. Based on the strict convexity of the branched $I^\pm$ -potentials, we esta…

Circle Pattern Theorem for Quasi-simplicial Triangulated Surfaces

The character of ideal circle patterns

Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns

Branched I^±-combinatorial Ricci flows on closed surfaces with Euler characteristic I¨≤0

Branched $I^\pm$ -combinatorial Ricci flows on closed surfaces with Euler characteristic $I ¨ \leq 0$