发表机构
Beijing Institute of Mathematical Sciences and Applications; School of Mathematical Sciences, LMNS, Fudan University（北京国际数学研究中心; 复旦大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究有限树上逆权Lin--Lu--Yau Ricci流，探究其曲率演化方程的扩散结构，证明曲率沿该流收敛，且该流在对数坐标下可刻画为凸势函数的梯度流。
AI 中文摘要
我们研究有限树上逆权情形下的连续Lin--Lu--Yau Ricci流，探究曲率演化方程的扩散结构并证明曲率沿该Ricci流收敛；此外，我们表明在对数坐标下，该Ricci流可被刻画为凸势函数的梯度流。
英文摘要
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 curvature is the unique minimum-norm point of a polyhedron determined by the tree. We characterize possible limits of the normalized edge weights, give criteria for their convergence, and show that different positive initial metrics have equivalent omega-limit sets.
