most citedProbability-turbulence divergence: A tunable allotaxonometric instrument for comparing heavy-tailed categorical distributions

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physics.soc-ph2026★ 1 cited

Probability-turbulence divergence: A tunable allotaxonometric instrument for comparing heavy-tailed categorical distributions

P. S. Dodds, J. R. Minot, M. V. Arnold +4

Real-world complex systems often comprise many distinct types of elements as well as many more types of networked interactions between elements. When the relative abundances of typ…

physics.soc-ph2026

Simon's model does not produce Zipf's law: The fundamental rich-get-richer mechanism for any power-law size ranking

Pablo Rosillo-Rodes, Julia Witte Zimmerman, Laurent Hébert-Dufresne +1

Many complex systems are composed of disparate, interacting types of varying sizes: Species abundances in ecosystems, firm sizes in markets, city populations in countries, word cou…