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The evolution of open source software projects in Linux distributions offers a remarkable example of a growing complex self-organizing adaptive system, exhibiting Zipf's law over four full decades. We present three tests of the usually…

Data Analysis, Statistics and Probability · Physics 2014-08-26 T. Maillart , D. Sornette , S. Spaeth , G. Von Krogh

Complex natural and technological systems can be considered, on a coarse-grained level, as assemblies of elementary components: for example, genomes as sets of genes, or texts as sets of words. On one hand, the joint occurrence of…

A model of scientific citation distribution is given. We apply it to understand the role of the Hirsch index as an indicator of scientific publication importance in Mathematics and some related fields. The proposed model is based on a…

Probability · Mathematics 2020-03-23 Lev Klebanov , Yulia Kuvaeva , Zeev Volkovich

We develop an abstract model of information acquisition from redundant data. We assume a random sampling process from data which provide information with bias and are interested in the fraction of information we expect to learn as function…

Information Retrieval · Computer Science 2015-03-17 Wolfgang Gatterbauer

Scholarly impact may be metricized using an author's total number of citations as a stand-in for real worth, but this measure varies in applicability between disciplines. The detail of the number of citations per publication is nowadays…

Digital Libraries · Computer Science 2018-09-06 Peter T. Breuer , Jonathan P. Bowen

n-tuple power law widely exists in language, computer program code, DNA and music. After a vast amount of Zipf analyses of n-tuple power law from empirical data, we propose a model to explain the n-tuple power law feature existed in these…

Data Analysis, Statistics and Probability · Physics 2009-08-05 Xiaocong Gan , Dahui Wang , Zhangang Han

We show how generalized Gibbs-Shannon entropies can provide new insights on the statistical properties of texts. The universal distribution of word frequencies (Zipf's law) implies that the generalized entropies, computed at the word level,…

Physics and Society · Physics 2017-02-15 Eduardo G. Altmann , Laercio Dias , Martin Gerlach

It has been shown recently that a specific class of path-dependent stochastic processes, which reduce their sample space as they unfold, lead to exact scaling laws in frequency and rank distributions. Such Sample Space Reducing processes…

Physics and Society · Physics 2017-10-02 Bernat Corominas-Murtra , Rudolf Hanel , Stefan Thurner

Background: Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems perspective on human communication.…

Computation and Language · Computer Science 2009-11-11 Eduardo G. Altmann , Janet B. Pierrehumbert , Adilson E. Motter

We report characteristics of in-text citations in over five million full text articles from two large databases - the PubMed Central Open Access subset and Elsevier journals - as functions of time, textual progression, and scientific field.…

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

We present here evidence for the existence of a citation advantage within astrophysics for papers that link to data. Using simple measures based on publication data from NASA Astrophysics Data System we find a citation advantage for papers…

Instrumentation and Methods for Astrophysics · Physics 2015-11-10 S. B. F. Dorch , T. M. Drachen , O. Ellegaard

We extracted information from the ACL Anthology (AA) and Google Scholar (GS) to examine trends in citations of NLP papers. We explore questions such as: how well cited are papers of different types (journal articles, conference papers, demo…

Digital Libraries · Computer Science 2020-05-05 Saif M. Mohammad

Large language models (LLMs) have been increasingly applied to a wide range of tasks, from natural language understanding to code generation. While they have also been used to assist in bibliographic recommendation, the hallucination of…

Computation and Language · Computer Science 2025-10-30 Junichiro Niimi

According to Zipf's meaning-frequency law, words that are more frequent tend to have more meanings. Here it is shown that a linear dependency between the frequency of a form and its number of meanings is found in a family of models of…

Computation and Language · Computer Science 2016-10-14 Ramon Ferrer-i-Cancho

Citation prediction of scholarly papers is of great significance in guiding funding allocations, recruitment decisions, and rewards. However, little is known about how citation patterns evolve over time. By exploring the inherent involution…

Digital Libraries · Computer Science 2020-08-13 Xiaomei Bai , Fuli Zhang , Ivan Lee

Due to the availability of references of research papers and the rich information contained in papers, various citation analysis approaches have been proposed to identify similar documents for scholar recommendation. Despite of the success…

Information Retrieval · Computer Science 2017-03-21 Han Tian , Hankz Hankui Zhuo

Universality or near-universality of citation distributions was found empirically a decade ago but its theoretical justification has been lacking so far. Here, we systematically study citation distributions for different disciplines in…

Physics and Society · Physics 2020-02-25 Michael Golosovsky

Research collaborations provide the foundation for scientific advances, but we have only recently begun to understand how they form and grow on a global scale. Here we analyze a model of the growth of research collaboration networks to…

Physics and Society · Physics 2021-01-28 Keith A. Burghardt , Allon G. Percus , Kristina Lerman

When following a sequence - such as reading a text or tracking a user's activity - one can measure how the "dictionary" of distinct elements (types) grows with the number of observations (tokens). When this growth follows a power law, it is…

Physics and Society · Physics 2026-04-21 Célestin Zimmerlin , Thomas Louail , Manuel Moussallam , Marc Barthelemy

In this paper we quantify the consistency of word usage in written texts represented by complex networks, where words were taken as nodes, by measuring the degree of preservation of the node neighborhood.} Words were considered highly…

Physics and Society · Physics 2013-02-19 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa