Aijin Lin

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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 $Φ \in (0, π)$ . It is crucial to determine when $S$ supports an ideal $D$ -typ…

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 $α$ -combinatorial Ricci flows on closed surfaces with Euler characteristic $χ \leq 0$

Wenjun Li, Rongyuan Liu, Guohao Chen +1

In this paper we introduce the branched $α$ -flows on closed surfaces with Euler characteristic $χ\leq 0$. Based on the strict convexity of the branched $α$ -potentials, we establi…

The character of ideal circle patterns

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

Branched α-combinatorial Ricci flows on closed surfaces with Euler characteristic χ≤0

Branched $α$ -combinatorial Ricci flows on closed surfaces with Euler characteristic $χ \leq 0$