Does Excellence Correspond to Universal Inequality Level?

We study the inequality of citations received for different publications of various researchers and Nobel laureates in Physics, Chemistry, Medicine and Economics using Google Scholar data from 2012 to 2024. Citation distributions are found to be highly unequal, with even greater disparity among Nobe...

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Main Authors: Soumyajyoti Biswas, Bikas K. Chakrabarti, Asim Ghosh, Sourav Ghosh, Máté Józsa, Zoltán Néda
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/27/5/495
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author Soumyajyoti Biswas
Bikas K. Chakrabarti
Asim Ghosh
Sourav Ghosh
Máté Józsa
Zoltán Néda
author_facet Soumyajyoti Biswas
Bikas K. Chakrabarti
Asim Ghosh
Sourav Ghosh
Máté Józsa
Zoltán Néda
author_sort Soumyajyoti Biswas
collection DOAJ
description We study the inequality of citations received for different publications of various researchers and Nobel laureates in Physics, Chemistry, Medicine and Economics using Google Scholar data from 2012 to 2024. Citation distributions are found to be highly unequal, with even greater disparity among Nobel laureates. Measures of inequality, such as the Gini and Kolkata indices, emerge as useful indicators for distinguishing Nobel laureates from others. Such high inequality corresponds to growing critical fluctuations, suggesting that excellence aligns with an imminent (self-organized dynamical) critical point. Additionally, Nobel laureates exhibit systematically lower values of the Tsallis–Pareto parameter <i>b</i> and Shannon entropy, indicating more structured citation distributions. We also analyze the inequality in Olympic medal tallies across countries and find similar levels of disparity. Our results suggest that inequality measures can serve as proxies for competitiveness and excellence.
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spelling doaj-art-60d2e0daa41f48b1b495611f7a18be652025-08-20T03:14:36ZengMDPI AGEntropy1099-43002025-05-0127549510.3390/e27050495Does Excellence Correspond to Universal Inequality Level?Soumyajyoti Biswas0Bikas K. Chakrabarti1Asim Ghosh2Sourav Ghosh3Máté Józsa4Zoltán Néda5Department of Physics, SRM University-AP, Amaravati 522240, IndiaSaha Institute of Nuclear Physics, Kolkata 700064, IndiaDepartment of Physics, Raghunathpur College, Raghunathpur, Purulia 723133, IndiaDepartment of Physics, SRM University-AP, Amaravati 522240, IndiaDeptartment of Physics, Babeş-Bolyai University, 400347 Cluj-Napoca, RomaniaDeptartment of Physics, Babeş-Bolyai University, 400347 Cluj-Napoca, RomaniaWe study the inequality of citations received for different publications of various researchers and Nobel laureates in Physics, Chemistry, Medicine and Economics using Google Scholar data from 2012 to 2024. Citation distributions are found to be highly unequal, with even greater disparity among Nobel laureates. Measures of inequality, such as the Gini and Kolkata indices, emerge as useful indicators for distinguishing Nobel laureates from others. Such high inequality corresponds to growing critical fluctuations, suggesting that excellence aligns with an imminent (self-organized dynamical) critical point. Additionally, Nobel laureates exhibit systematically lower values of the Tsallis–Pareto parameter <i>b</i> and Shannon entropy, indicating more structured citation distributions. We also analyze the inequality in Olympic medal tallies across countries and find similar levels of disparity. Our results suggest that inequality measures can serve as proxies for competitiveness and excellence.https://www.mdpi.com/1099-4300/27/5/495citation datainequality indicesLorenz curveGini indexKolkata index
spellingShingle Soumyajyoti Biswas
Bikas K. Chakrabarti
Asim Ghosh
Sourav Ghosh
Máté Józsa
Zoltán Néda
Does Excellence Correspond to Universal Inequality Level?
Entropy
citation data
inequality indices
Lorenz curve
Gini index
Kolkata index
title Does Excellence Correspond to Universal Inequality Level?
title_full Does Excellence Correspond to Universal Inequality Level?
title_fullStr Does Excellence Correspond to Universal Inequality Level?
title_full_unstemmed Does Excellence Correspond to Universal Inequality Level?
title_short Does Excellence Correspond to Universal Inequality Level?
title_sort does excellence correspond to universal inequality level
topic citation data
inequality indices
Lorenz curve
Gini index
Kolkata index
url https://www.mdpi.com/1099-4300/27/5/495
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