https://neckpinch.com/authors/yangxiang-lu/New arXiv papers by Yangxiang Lu, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2505.05925/arxiv:2505.05925Fri, 09 May 2025 00:00:00 GMTChang Li, Yangxiang Lu, Hao Yu — Since the fundamental work of Chow-Luo, Ge et al., the combinatorial curvature flow methods became a basic technique in the study of circle pattern theory. In this paper, we investigate the combinatorial Ricci flow with prescribed total geodesic curvatures in spherical background geometry. For infinite cellular decompositions, we establish the existence of a solution to the flow equation for all time. Furthermore, under an additional condition, we prove that the solution converges as time tends to infinity. To the best of our knowledge, this is the first study of an infinite combinatorial curvature flow in spherical background geometry.Ricci flowOther curvature flowsDiscrete & graph Ricci