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arXiv · 2506.21808

A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence

Jonathan St-Onge·Ashley M. A. Fehr·Carter Ward·Calla G. Beauregard·Michael V. Arnold·Samuel F. Rosenblatt·Benjamin Cooley·Christopher M. Danforth·Peter Sheridan Dodds
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Abstract

Describing and comparing complex systems requires principled, theoretically grounded tools. Built around the phenomenon of type turbulence, allotaxonographs provide map-and-list visual comparisons of pairs of heavy-tailed distributions. Allotaxonographs are designed to accommodate a wide range of instruments including rank- and probability-turbulence divergences, Jenson-Shannon divergence, and generalized entropy divergences. Here, we describe a suite of programmatic tools for rendering allotaxonographs for rank-turbulence divergence in Matlab, Javascript, and Python, all of which have different use cases.

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Jonathan St-Onge, Ashley M. A. Fehr, Carter Ward, Calla G. Beauregard, Michael V. Arnold, Samuel F. Rosenblatt, Benjamin Cooley, Christopher M. Danforth, Peter Sheridan Dodds. 2025-06-26. A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence. https://arxiv.org/abs/2506.21808

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