Shared-Endpoint Correlations and Hierarchy in Random Flows on Graphs
J Richland, A Strang - arXiv preprint arXiv:2411.06314, 2024 - arxiv.org
We analyze the correlation between randomly chosen edge weights on neighboring edges
in a directed graph. This shared-endpoint correlation controls the expected organization of …
in a directed graph. This shared-endpoint correlation controls the expected organization of …
The Almost Sure Evolution of Hierarchy Among Similar Competitors
C Cebra, A Strang - arXiv preprint arXiv:2402.06005, 2024 - arxiv.org
While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world
systems are predominantly hierarchical. We demonstrate and extend a mechanism for …
systems are predominantly hierarchical. We demonstrate and extend a mechanism for …