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Empirical evidence demonstrates that citations received by scholarly publications follow a pattern of preferential attachment, resulting in a power-law distribution. Such asymmetry has sparked significant debate regarding the use of…

Digital Libraries · Computer Science 2023-12-04 Diego Kozlowski1 , Jens Peter Andersen , Vincent Larivière

Wikipedia is a free Internet encyclopedia with an enormous amount of content. This encyclopedia is written by volunteers with various backgrounds in a collective fashion; anyone can access and edit most of the articles. This open-editing…

Physics and Society · Physics 2016-01-26 Jinhyuk Yun , Sang Hoon Lee , Hawoong Jeong

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

Following findings by Ormerod and Mounfield, Wright rises the problem whether a power or an exponential law describes the distribution of occurrences of economic recession periods. In order to clarify the controversy a different set of GDP…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Janusz Miskiewicz , Michele Sanglier

Collective human behaviors are analyzed using the time series of word appearances in blogs. As expected, we confirm that the number of fluctuations is approximated by a Poisson distribution for very-low-frequency words. A non-trivial…

Physics and Society · Physics 2009-12-11 Y. Sano , K. Kaski , M. Takayasu

This paper reviews and compares popular methods, some old and some very recent, that produce time series having Poisson marginal distributions. The paper begins by narrating ways where time series with Poisson marginal distributions can be…

Methodology · Statistics 2023-10-18 Jiajie Kong , Robert Lund

Modern social media platforms facilitate the rapid spread of information online. Modelling phenomena such as social contagion and information diffusion are contingent upon a detailed understanding of the information-sharing processes. In…

Physics and Society · Physics 2018-05-22 Peter Mathews , Lewis Mitchell , Giang T. Nguyen , Nigel G. Bean

Human social interactions tend to vary in intensity over time, whether they are in person or online. Variable rates of interaction in structured populations can be described by networks with the time-varying activity of links and nodes. One…

Physics and Society · Physics 2023-04-17 Anzhi Sheng , Qi Su , Aming Li , Long Wang , Joshua B. Plotkin

We empirically study the activity patterns of individual blog-posting and find significant memory effects. The memory coefficient first decays in a power law and then turns to an exponential form. Moreover, the inter-event time distribution…

Physics and Society · Physics 2010-11-03 Peng Wang , Tao Zhou , Xiao-Pu Han , Bing-Hong Wang

A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is published on a regular basis and in most…

Machine Learning · Computer Science 2012-08-15 Vasileios Lampos

Gender inequality in scientific careers has been extensively documented through aggregate measures such as total publications and cumulative citations, yet the temporal dynamics underlying these disparities remain largely unexplored. Here…

Digital Libraries · Computer Science 2025-09-09 Bili Zheng , Chenyi Yang , Jianhua Hou

We address this work to investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols are repeated following a power law probability density. In this analysis, we consider that the sum…

Statistical Mechanics · Physics 2015-05-27 H. V. Ribeiro , E. K. Lenzi , R. S. Mendes , P. A. Santoro

Interevent times have been studied across various disciplines in search for correlations. In this paper we show analytical and numerical evidence that at the population level a power-law can be obtained by assuming poissonian agents with…

Statistical Mechanics · Physics 2009-11-11 Cesar A. Hidalgo R

In this study we aim for a deeper understanding of the power law slope, $\alpha$, of waiting time distributions. Statistically independent events with linear behavior can be characterized by binomial, Gaussian, exponential, or Poissonian…

Solar and Stellar Astrophysics · Physics 2021-11-17 Markus J. Aschwanden , Jay R. Johnson , Yosia I. Nurhan

Recent research has shown the deep impact of the dynamics of human interactions (or temporal social networks) on the spreading of information, opinion formation, etc. In general, the bursty nature of human interactions lowers the…

Physics and Society · Physics 2015-06-16 Giovanna Miritello , Rubén Lara , Esteban Moro

We study the statistical properties of time distribution of seimicity in California by means of a new method of analysis, the Diffusion Entropy. We find that the distribution of time intervals between a large earthquake (the main shock of a…

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

We find a general formula for the distribution of time-averaged observables for systems modeled according to the sub-diffusive continuous time random walk. For Gaussian random walks coupled to a thermal bath we recover ergodicity and…

Statistical Mechanics · Physics 2009-11-13 Adi Rebenshtok , Eli Barkai

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable which depends on the tendency of the population, as well on its own trend characteristic. The influence of the…

Probability · Mathematics 2020-01-08 Manuel González-Navarrete , Rodrigo Lambert

The Poisson probability distribution is frequently encountered in physical science measurements. In spite of the simplicity and familiarity of this distribution, there is considerable confusion among physicists concerning the description of…

Data Analysis, Statistics and Probability · Physics 2026-04-22 Frank C. Porter
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