https://neckpinch.com/authors/ben-snodgrass/New arXiv papers by Ben Snodgrass, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2212.12401/arxiv:2212.12401Fri, 23 Dec 2022 00:00:00 GMTDavid Cushing, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Ben Snodgrass — In this second part of a sequence of two papers, we discuss the implementation of a curvature flow on weighted graphs based on the Bakry-Émery calculus. This flow can be adapted to preserve the Markovian property and its limits as time goes to infinity turn out to be curvature sharp weighted graphs. After reviewing some of the main results of the first paper concerned with the theoretical aspects, we present various examples (random graphs, paths, cycles, complete graphs, wedge sums and Cartesian products of complete graphs, hypercubes) and exhibit further properties of this flow. One particular aspect in our investigations is asymptotic stability and instability of curvature flow equilibria. The paper ends with a description of the available Python functions and routines available in the ancillary file. We hope that the explanations of the Python implementation via examples will help users to carry out their own curvature flow experiments.Other curvature flowsLimit spaces & RCDStability & uniqueness