https://neckpinch.com/authors/bohao-ji/New arXiv papers by Bohao Ji, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2607.23584/arxiv:2607.23584Sun, 26 Jul 2026 00:00:00 GMTBohao Ji — In this paper, we study three-dimensional combinatorial Yamabe flows on locally finite infinite triangulations in Euclidean and hyperbolic background geometries. Under suitable non-degeneracy and bounded-degree assumptions, we establish the short-time existence and uniqueness of the original flows. We further introduce the extended flows by using the continuous extension of solid angles, and prove long-time existence for both extended flows under suitable initial assumptions.Yamabe flow3-manifoldsStability & uniquenessLong-time existence & convergenceHarmonic maps & DeTurck trickDiscrete & graph Ricci https://neckpinch.com/papers/2507.12355/arxiv:2507.12355Wed, 16 Jul 2025 00:00:00 GMTBohao Ji — In this paper, we study the combinatorial Yamabe flow on infinite triangulated surfaces in Euclidean background geometry, aiming for solving discrete Yamabe problem on noncompact surfaces. Under suitable conditions, we establish the short-time existence and uniqueness of the flow. We further introduce an extended version of the flow and prove its long-time existence. As an application, we prove the convergence result of the Yamabe flow in the case of hexagonal triangulations of the plane.Yamabe flowStability & uniquenessBoundaries & non-compactLong-time existence & convergenceHarmonic maps & DeTurck trickDiscrete & graph Ricci