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Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

Statistics Theory · Mathematics 2012-05-14 Peter M. Robinson

Many man-made and natural phenomena, including the intensity of earthquakes, population of cities and size of international wars, are believed to follow power-law distributions. The accurate identification of power-law patterns has…

Data Analysis, Statistics and Probability · Physics 2014-04-15 Yogesh Virkar , Aaron Clauset

We investigate how the statistics of extremes and records is affected when taking the moving average over a window of width $p$ of a sequence of independent, identically distributed random variables. An asymptotic analysis of the general…

Statistical Mechanics · Physics 2021-01-19 Claude Godrèche , Jean-Marc Luck

Online social networks play a major role in the spread of information at very large scale and it becomes essential to provide means to analyse this phenomenon. In this paper we address the issue of predicting the temporal dynamics of the…

Social and Information Networks · Computer Science 2013-03-26 Adrien Guille , Hakim Hacid , Cécile Favre

Changes in citation distributions over 100 years can reveal much about the evolution of the scientific communities or disciplines. The prevalence of uncited papers or of highly-cited papers, with respect to the bulk of publications,…

Physics and Society · Physics 2008-10-09 Matthew L. Wallace , Vincent Larivière , Yves Gingras

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield

We investigate the temporal patterns of human communication and its influence on the spreading of information in social networks. The analysis of mobile phone calls of 20 million people in one country shows that human communication is…

Physics and Society · Physics 2015-05-20 Giovanna Miritello , Esteban Moro , Rubén Lara

A key question of collective social behavior is related to the influence of Mass Media on public opinion. Different approaches have been developed to address quantitatively this issue, ranging from field experiments to mathematical models.…

Social and Information Networks · Computer Science 2020-06-16 Federico Albanese , Sebastián Pinto , Viktoriya Semeshenko , Pablo Balenzuela

We present a theory for the growth dynamics of the World Wide Web that takes into account the wide range of stochastic growth rates in the number of pages per site, as well as the fact that new sites are created at different times. This…

Statistical Mechanics · Physics 2007-05-23 Bernardo A. Huberman , Lada A. Adamic

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

Physics and Society · Physics 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

We analyze the publication records of individual scientists, aiming to quantify the topic switching dynamics of scientists and its influence. For each scientist, the relations among her publications are characterized via shared references.…

Physics and Society · Physics 2019-09-11 An Zeng , Zhesi Shen , Jianlin Zhou , Ying Fan , Zengru Di , Yougui Wang , H. Eugene Stanley , Shlomo Havlin

The proliferation of public networks has enabled instantaneous and interactive communication that transcends temporal and spatial constraints. The vast amount of textual data on the Web has facilitated the study of quantitative analysis of…

Physics and Society · Physics 2024-04-22 Yasuko Kawahata

It has been noticed that when the waiting time distribution exhibits a transition from an intermediate time power law decay to a long-time exponential decay in the continuous time random walk model, a transition from anomalous diffusion to…

Analysis of PDEs · Mathematics 2023-05-23 Zhe Xue , Yuan Zhang , Zhennan Zhou , Min Tang

We demonstrate a comprehensive framework that accounts for citation dynamics of scientific papers and for the age distribution of references. We show that citation dynamics of scientific papers is nonlinear and this nonlinearity has…

Physics and Society · Physics 2014-10-02 Michael Golosovsky , Sorin Solomon

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

Physics and Society · Physics 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

We investigated the temporal distribution of goals in soccer using event-level data from 3,433 matches across 21 leagues and competitions. Contrary to the prevailing notion of randomness, we found that the probability of a goal being scored…

We review some recent endeavors and add some new results to characterize and understand underlying mechanisms in Wikipedia (WP), the paradigmatic example of collaborative value production. We analyzed the statistics of editorial activity in…

Physics and Society · Physics 2023-01-05 Taha Yasseri , János Kertész

It appeared recently that the underlying degree distribution of networks may play a crucial role concerning their robustness. Empiric and analytic results have been obtained, based on asymptotic and mean-field approximations. Previous work…

Statistical Mechanics · Physics 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

The current leading paradigm for temporal information extraction from text consists of three phases: (1) recognition of events and temporal expressions, (2) recognition of temporal relations among them, and (3) time-line construction from…

Computation and Language · Computer Science 2023-12-01 Artuur Leeuwenberg , Marie-Francine Moens

The gap between data production and user ability to access, compute and produce meaningful results calls for tools that address the challenges associated with big data volume, velocity and variety. One of the key hurdles is the inability to…

Social and Information Networks · Computer Science 2017-01-25 Vijay Gadepally , Jeremy Kepner