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It has been recently found that a number of systems displaying crackling noise also show a remarkable behavior regarding the temporal occurrence of successive events versus their size: a scaling law for the probability distributions of…

Statistical Mechanics · Physics 2009-11-13 Alvaro Corral

Online petitions are an important avenue for direct political action, yet the dynamics that determine when a petition will be successful are not well understood. Here we analyze the temporal characteristics of online-petition signing…

Physics and Society · Physics 2017-05-22 Lucas Böttcher , Olivia Woolley-Meza , Dirk Brockmann

The temporal statistics exhibited by written correspondence appear to be media dependent, with features which have so far proven difficult to characterize. We explain the origin of these difficulties by disentangling the role of spontaneous…

Physics and Society · Physics 2015-06-17 M. Formentin , A. Lovison , A. Maritan , G. Zanzotto

Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of…

Physics and Society · Physics 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

A mass of traces of human activities show diverse dynamic patterns. In this paper, we comprehensively investigate the dynamic pattern of human attention defined by the quantity of interests on subdisciplines in an online academic…

Physics and Society · Physics 2017-11-29 Zhi-Dan Zhao , Ya-Chun Gao , Shi-Min Cai

Queueing theory has been recently proposed as a framework to model the heavy tailed statistics of human activity patterns. The main predictions are the existence of a power-law distribution for the interevent time of human actions and two…

Physics and Society · Physics 2009-02-13 J. G. Oliveira , A. Vazquez

The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed…

Soft Condensed Matter · Physics 2008-04-29 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

We establish a connection between tagged particles and size-biased empirical processes in interacting particle systems, in analogy to classical results on the propagation of chaos. In a mean-field scaling limit, the evolution of the…

Probability · Mathematics 2026-03-03 Angeliki Koutsimpela , Stefan Grosskinsky

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

Forest-fire waiting times, defined as the time between successive events above a certain size in a given region, are calculated for Italy. The probability densities of the waiting times are found to verify a scaling law, despite that fact…

Geophysics · Physics 2009-11-13 Alvaro Corral , Luciano Telesca , Rosa Lasaponara

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

In multitasking operating systems, requests for free memory are traditionally modeled as a stochastic counting process with independent, exponentially-distributed interarrival times because of the analytic simplicity such Poisson models…

Performance · Computer Science 2018-03-28 James Garnett , Elizabeth Bradley

Processes involving bursts of activity separated by quiescent periods occur across diverse systems and scales. In human dynamics, these phenomena have been described by power-law inter-event time distributions, $P(t)\sim t^{-\alpha}$, with…

Other Condensed Matter · Physics 2026-04-17 Morten Møller , Philipp Rahe , Sadegh Ghaderzadeh , Elena Besley , Philip Moriarty

The dynamics of technological, economic and social phenomena is controlled by how humans organize their daily tasks in response to both endogenous and exogenous stimulations. Queueing theory is believed to provide a generic answer to…

Physics and Society · Physics 2013-05-29 Thomas Maillart , Didier Sornette , Stefan Frei , Thomas Duebendorfer , Alexander Saichev

Temporal inhomogeneities in event sequences of natural and social phenomena have been characterized in terms of interevent times and correlations between interevent times. The inhomogeneities of interevent times have been extensively…

Physics and Society · Physics 2018-03-20 Hang-Hyun Jo , Takayuki Hiraoka

Recently increased accessibility of large-scale digital records enables one to monitor human activities such as the interevent time distributions between two consecutive visits to a web portal by a single user, two consecutive emails sent…

Physics and Society · Physics 2009-11-13 N. Masuda , J. S. Kim , B. Kahng

Human behaviors are often driven by human interests. Despite intense recent efforts in exploring the dynamics of human behaviors, little is known about human-interest dynamics, partly due to the extreme difficulty in accessing the human…

Physics and Society · Physics 2013-07-31 Zhi-Dan Zhao , Zimo Yang , Zike Zhang , Tao Zhou , Zi-Gang Huang , Ying-Cheng Lai

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

On-line communities offer a great opportunity to investigate human dynamics, because much information about individuals is registered in databases. In this paper, based on data statistics of online comments on Blog posts, we first present…

Social and Information Networks · Computer Science 2010-09-28 Jin-Li Guo

Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly concerned by the…

Statistical Mechanics · Physics 2017-07-26 Alvaro Corral
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