https://neckpinch.com/authors/xiaorui-yang/New arXiv papers by Xiaorui Yang, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2506.07130/arxiv:2506.07130Sun, 08 Jun 2025 00:00:00 GMTXiaorui Yang, Hao Yu — This paper presents a comprehensive study of the combinatorial p-th Calabi flow for both finite and infinite ideal circle patterns. In the finite case, we establish a sharp criterion: the combinatorial p-th Calabi flow with p>1 converges if and only if a constant curvature metric exists in the underlying geometric background. In the infinite setting, we prove the long-time existence of solutions to the combinatorial p-th Calabi flow for p ≥ 2, representing a significant advance in the theory of curvature flows on infinite structures.Other curvature flowsKähler geometryLong-time existence & convergenceKähler–Einstein & K-stability