Rory Conboye — Neckpinchhttps://neckpinch.com/authors/rory-conboye/New arXiv papers by Rory Conboye, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Stability of piecewise flat Ricci flowhttps://neckpinch.com/papers/2306.12745/arxiv:2306.12745Thu, 22 Jun 2023 00:00:00 GMTRory Conboye — The stability of a recently developed piecewise flat Ricci flow is investigated, using a linear stability analysis and numerical simulations, and a class of piecewise flat approximations of smooth manifolds is adapted to avoid an inherent numerical instability. These adaptations have also been used in a related paper to show the convergence of the piecewise flat Ricci flow to known smooth Ricci flow solutions for a variety of manifolds.Ricci flowStability & uniquenessNumerics & visualization