https://neckpinch.com/authors/xin-an-ren/New arXiv papers by Xin-An Ren, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2307.10920/arxiv:2307.10920Thu, 20 Jul 2023 00:00:00 GMTXiaolong Li, Hao-Yue Liu, Xin-An Ren — We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Kähler-Ricci flow. As an application, we obtain a monotonicity formula.Ricci flowKähler–Ricci flowHarnack inequalitiesHeat kernelKähler geometry