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In a recent paper, Hirsch (2018) proposes to attribute the credit for a co-authored paper to the {\alpha}-author--the author with the highest h-index--regardless of his or her actual contribution, effectively reducing the role of the other…

Digital Libraries · Computer Science 2018-10-18 Loet Leydesdorff , Lutz Bornmann , Tobias Opthof

This article investigates the evolution of the $h-$index in a complex network including two communities (in the sense of having different features) with the same number of authors whose yearly productions follow the Zipf's law. Models…

Physics and Society · Physics 2007-05-23 Luciano da Fontoura Costa

Predicting the number of coauthors for researchers contributes to understanding the development of team science. However, it is an elusive task due to diversity in the collaboration patterns of researchers. This study provides a learning…

Digital Libraries · Computer Science 2020-03-23 Zheng Xie

A set of data with positive values follows a Pareto distribution if the log-log plot of value versus rank is approximately a straight line. A Pareto distribution satisfies Zipf's law if the log-log plot has a slope of -1. Since many types…

Economics · Quantitative Finance 2020-06-04 Ricardo T. Fernholz , Robert Fernholz

Slovenia's Current Research Information System (SICRIS) currently hosts 86,443 publications with citation data from 8,359 researchers working on the whole plethora of social and natural sciences from 1970 till present. Using these data, we…

Data Analysis, Statistics and Probability · Physics 2010-06-08 Matjaz Perc

We propose a new citation model which builds on the existing models that explicitly or implicitly include "direct" and "indirect" (learning about a cited paper's existence from references in another paper) citation mechanisms. Our model…

Digital Libraries · Computer Science 2020-08-12 Staša Milojević

We present empirical data on misprints in citations to twelve high-profile papers. The great majority of misprints are identical to misprints in articles that earlier cited the same paper. The distribution of the numbers of misprint…

Physics and Society · Physics 2011-09-13 M. V. Simkin , V. P. Roychowdhury

We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is inspired by a recent modification of the Price's model,…

Physics and Society · Physics 2026-04-29 Łukasz Brzozowski , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

We analyse correspondence of a text to a simple probabilistic model. The model assumes that the words are selected independently from an infinite dictionary. The probability distribution correspond to the Zipf---Mandelbrot law. We count…

Zipf's law, originally discovered in natural language and later generalized to the Zipf-Mandelbrot law, describes a power-law relationship between the frequency of a Zipfian element and its rank. Due to the semantic characteristics of this…

Applications · Statistics 2026-02-17 Byeongchan Choi , Junwon You , Myung Ock Kim , Jae-Hun Jung

Zipf's law for cities is probably the most famous regularity in social sciences. So much that, a hundred years of publication later, its status is not clear: is it a law of social organisation? Is it an instrument of description of city…

Physics and Society · Physics 2017-10-10 Clementine Cottineau

An important issue in bibliometrics is the weighing of co-authorship in the production of scientific collaborations, which are becoming the standard modality of research activity in many disciplines. The problem is especially relevant in…

Digital Libraries · Computer Science 2020-07-15 Paolo Rossi , Alessandro Strumia , Riccardo Torre

We summarize a book under publication with his title written by the three present authors, on the theory of Zipf's law, and more generally of power laws, driven by the mechanism of proportional growth. The preprint is available upon request…

General Finance · Quantitative Finance 2014-08-26 A. Saichev , Y. Malevergne , D. Sornette

We provide a general framework to model the growth of networks consisting of different coupled layers. Our aim is to estimate the impact of one such layer on the dynamics of the others. As an application, we study a scientometric network,…

Physics and Society · Physics 2020-09-16 Vahan Nanumyan , Christoph Gote , Frank Schweitzer

Zipf's law defines an inverse proportion between a word's ranking in a given corpus and its frequency in it, roughly dividing the vocabulary into frequent words and infrequent ones. Here, we stipulate that within a domain an author's…

Computation and Language · Computer Science 2022-02-24 Osnat Mokryn , Hagit Ben-Shoshan

In this paper we present "citation success index", a metric for comparing the citation capacity of pairs of journals. Citation success index is the probability that a random paper in one journal has more citations than a random paper in…

Digital Libraries · Computer Science 2016-12-23 Staša Milojević , Filippo Radicchi , Judit Bar-Ilan

The aim of this paper is to extend our knowledge about the power-law relationship between citation-based performance and collaboration patterns for papers of the Natural Sciences domain. We analyzed 829,924 articles that received 16,490,346…

Digital Libraries · Computer Science 2017-11-13 Guillermo Armando Ronda-Pupo , J. Sylvan Katz

In this article, I conduct a textual and contextual analysis of the empirical literature on Zipf's law for cities. Building on previous meta-analysis material openly available, I collect full texts and bibliographies of 66 scientific…

Physics and Society · Physics 2022-02-01 Clémentine Cottineau

While computer modeling and simulation are crucial for understanding scientometrics, their practical use in literature remains somewhat limited. In this study, we establish a joint coauthorship and citation network using preferential…

Digital Libraries · Computer Science 2024-04-22 Haobai Xue

We investigate the similarities of pairs of articles which are co-cited at the different co-citation levels of the journal, article, section, paragraph, sentence and bracket. Our results indicate that textual similarity, intellectual…

Digital Libraries · Computer Science 2017-10-30 Giovanni Colavizza , Kevin W. Boyack , Nees Jan van Eck , Ludo Waltman