The geometry of tipping points

Franck Kalala Mutombo, Colleen Molloy Farrelly, Yaé Ulrich Gaba

Keywords: Graph-based metrics, discrete Ricci curvature, tipping point identification, graph Euler characteristic, graph Laplacian energy, zeta function derivative, financial networks, stock market, goods market, Forman-Ricci curvature, network analysis.

TL;DR: This study explores alternative graph-based metrics for identifying tipping points in stock and goods markets, using Euler characteristic, Laplacian energy, zeta function derivative as well Forman-Ricci curvature.

Abstract: This study explores alternative graph-based metrics for identifying tipping points in stock and goods markets, finding that the graph Euler characteristic, Laplacian energy, and zeta function derivative correlate well with Forman-Ricci curvature, with the Euler characteristic offering favorable computational efficiency.

Submission Number: 4