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• W3007114557 abstract "Complex systems often comprise many kinds of components which vary over many orders of magnitude in size: Populations of cities in countries, individual and corporate wealth in economies, species abundance in ecologies, word frequency in natural language, and node degree in complex networks. Here, we introduce `allotaxonometry' along with `rank-turbulence divergence' (RTD), a tunable instrument for comparing any two ranked lists of components. We analytically develop our rank-based divergence in a series of steps, and then establish a rank-based allotaxonograph which pairs a map-like histogram for rank-rank pairs with an ordered list of components according to divergence contribution. We explore the performance of rank-turbulence divergence, which we view as an instrument of `type calculus', for a series of distinct settings including: Language use on Twitter and in books, species abundance, baby name popularity, market capitalization, performance in sports, mortality causes, and job titles. We provide a series of supplementary flipbooks which demonstrate the tunability and storytelling power of rank-based allotaxonometry." @default.
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• W3007114557 date "2020-02-22" @default.
• W3007114557 modified "2023-10-16" @default.
• W3007114557 title "Allotaxonometry and rank-turbulence divergence: A universal instrument for comparing complex systems" @default.
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• W3007114557 doi "https://doi.org/10.48550/arxiv.2002.09770" @default.
• W3007114557 hasPublicationYear "2020" @default.
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