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A cornerstone of human statistical learning is the ability to extract temporal regularities / patterns from random sequences. Here we present a method of computing pattern time statistics with generating functions for first-order Markov…

Neurons and Cognition · Quantitative Biology 2018-06-29 Yanlong Sun , Hongbin Wang

We analyze the citation time-series of manuscripts in three different fields of science; physics, social science and technology. The evolution of the time-series of the yearly number of citations, namely the citation trajectories, diffuse…

Digital Libraries · Computer Science 2021-09-21 Maryam Zamani , Erez Aghion , Peter Pollner , Tamas Vicsek , Holger Kantz

Power-law distributions are typical macroscopic features occurring in almost all complex systems observable in nature. As a result, researchers in quantitative analyses must often generate random synthetic variates obeying power-law…

Physics and Society · Physics 2014-11-11 Filippo Radicchi

Zipf's power-law distribution is a generic empirical statistical regularity found in many complex systems. However, rather than universality with a single power-law exponent (equal to 1 for Zipf's law), there are many reported deviations…

Physics and Society · Physics 2015-03-18 Ryohei Hisano , Didier Sornette , Takayuki Mizuno

Our paper explores contribution patterns of creativity and collaboration of Wikipedia editors as manifestations of social dynamics between the editors. We find support for existence of four socially constructed personas among the editors…

Social and Information Networks · Computer Science 2015-02-19 Pentti Launonen , KC Kern , Sanna Tiilikainen

A multi-parametric family of stretch exponential distributions with various power law tails is introduced and is shown to describe adequately the empirical distributions of scientific citation of individual authors. The four-parametric…

Physics and Society · Physics 2016-05-13 O. S. Garanina , M. Yu. Romanovsky

To uncover underlying mechanism of collective human dynamics, we survey more than 1.8 billion blog entries and observe the statistical properties of word appearances. We focus on words that show dynamic growth and decay with a tendency to…

Physics and Society · Physics 2015-03-19 Yukie Sano , Kenta Yamada , Hayafumi Watanabe , Hideki Takayasu , Misako Takayasu

Inter-event times of various human behavior are apparently non-Poissonian and obey long-tailed distributions as opposed to exponential distributions, which correspond to Poisson processes. It has been suggested that human individuals may…

Physics and Society · Physics 2020-02-27 Makoto Okada , Kenji Yamanishi , Naoki Masuda

Using numerical simulations and scaling theory we study the dynamics of the world-wide Web from the growth rules recently proposed in Ref. [1] with appropriate parameters. We demonstrate that the emergence of power-law behavior of the out-…

Statistical Mechanics · Physics 2009-11-07 Bosiljka Tadic

The human society is a very complex system; still, there are several non-trivial, general features. One type of them is the presence of power-law distributed quantities in temporal statistics. In this Letter, we focus on the origin of…

Physics and Society · Physics 2009-11-13 Tao Zhou , Hoang Anh Tuan Kiet , Beom Jun Kim , Bing-Hong Wang , Petter Holme

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

Neurons and Cognition · Quantitative Biology 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

A new model, called "Human Dynamics", has been recently proposed that individuals execute activities based on a perceived priority of tasks, which can be characterized by a power-law distribution of waiting time between consecutive tasks…

Computers and Society · Computer Science 2019-11-05 Jonathan J. H. Zhu , Tai-Quan Peng

The distribution of numbers in human documents is determined by a variety of diverse natural and human factors, whose relative significance can be evaluated by studying the numbers' frequency of occurrence. Although it has been studied…

Physics and Society · Physics 2009-11-11 S. N. Dorogovtsev , J. F. F. Mendes , J. G. Oliveira

The many-to-many social communication activity on the popular technology-news website Slashdot has been studied. We have concentrated on the dynamics of message production without considering semantic relations and have found regular…

Networking and Internet Architecture · Computer Science 2007-08-14 Andreas Kaltenbrunner , Vicenç Gómez , Ayman Moghnieh , Rodrigo Meza , Josep Blat , Vicente López

The citations process for scientific papers has been studied extensively. But while the citations accrued by authors are the sum of the citations of their papers, translating the dynamics of citation accumulation from the paper to the…

Researchers have demonstrated that humans are unable to generate a sequence of random numbers that corresponds in a statistical sense to a simple distribution such as the uniform distribution. The purpose of this article is to present the…

Physics and Society · Physics 2024-06-18 Vitaliy Grigoriev

Inhomogeneous temporal processes, like those appearing in human communications, neuron spike trains, and seismic signals, consist of high-activity bursty intervals alternating with long low-activity periods. In recent studies such bursty…

Physics and Society · Physics 2011-12-01 Márton Karsai , Kimmo Kaski , Albert-László Barabási , János Kertész

In this paper, we investigate the arising communication patterns on social media, and in particular the series of events happening for a single user. While the distribution of inter-event times is often assimilated to power-law density…

Current models of human dynamics, used from risk assessment to communications, assume that human actions are randomly distributed in time and thus well approximated by Poisson processes. We provide direct evidence that for five human…

Physics and Society · Physics 2009-11-11 A. Vazquez , J. Gama Oliveira , Z. Dezso , K. -I. Goh , I. Kondor , A. -L. Barabasi

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner