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The interaction between individuals in biological populations, dilute components of chemical systems, or particles transported by turbulent flows depends critically on their contact statistics. This work clarifies those statistics under the…

Mathematical Physics · Physics 2022-01-12 Mark Peter Rast

Identifying and modeling patterns of human activity has important ramifications in applications ranging from predicting disease spread to optimizing resource allocation. Because of its relevance and availability, written correspondence…

A previously established frequency distribution model, which integrates a lognormal distribution with a logarithmic equation, effectively characterizes fluctuations in email size during sending requests. In addition, an email size…

Physics and Society · Physics 2025-06-05 Yoshitsugu Matsubara

The recent availability of digital traces generated by phone calls and online logins has significantly increased the scientific understanding of human mobility. Until now, however, limited data resolution and coverage have hindered a…

Physics and Society · Physics 2017-03-20 Laura Alessandretti , Piotr Sapiezynski , Sune Lehmann , Andrea Baronchelli

Each time a learner in a self-paced online course seeks to answer an assessment question, it takes some time for the student to read the question and arrive at an answer to submit. If multiple attempts are allowed, and the first answer is…

Human-Computer Interaction · Computer Science 2020-02-06 Ilia Rushkin , Isaac Chuang , Dustin Tingley

Many astronomical phenomena, including Fast Radio Bursts and Soft Gamma Repeaters, consist of brief, separated, seemingly aperiodic events. The intervals between these events vary randomly, but there are epochs of greater activity, with…

High Energy Astrophysical Phenomena · Physics 2024-06-06 J. I. Katz

Randomized experiments, or A/B tests are used to estimate the causal impact of a feature on the behavior of users by creating two parallel universes in which members are simultaneously assigned to treatment and control. However, in social…

Social and Information Networks · Computer Science 2019-02-20 Craig Tutterow , Guillaume Saint-Jacques

A diverse variety of processes --- including recurrent disease episodes, neuron firing, and communication patterns among humans --- can be described using inter-event time (IET) distributions. Many such processes are ongoing, although event…

Physics and Society · Physics 2015-12-09 Mikko Kivelä , Mason A. Porter

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

In this paper, we study two large data sets containing the information of two different human behaviors: blog-posting and wiki-revising. In both cases, the interevent time distributions decay as power-laws at both individual and population…

Physics and Society · Physics 2015-05-19 Peng Wang , Ting Lei , Chi Ho Yeung , Bing-hong Wang

The dynamics of a wide range of real systems, from email patterns to earthquakes, display a bursty, intermittent nature, characterized by short timeframes of intensive activity followed by long times of no or reduced activity. The…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kwang-Il Goh , Albert-Laszlo Barabasi

In this paper we study the properties of the Barab\'asi model of queueing under the hypothesis that the number of tasks is steadily growing in time. We map this model exactly onto an Invasion Percolation dynamics on a Cayley tree. This…

Physics and Society · Physics 2008-07-18 Andrea Gabrielli , Guido Caldarelli

Many human-related activities show power-law decaying interevent time distribution with exponents usually varying between 1 and 2. We study a simple task-queuing model, which produces bursty time series due to the nontrivial dynamics of the…

Physics and Society · Physics 2013-10-22 Szabolcs Vajna , Bálint Tóth , János Kertész

Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant…

Performance · Computer Science 2011-11-09 Uli Harder , Maya Paczuski

We present some measurements and ideas for response time statistics in ERP systems. It is shown that the response time distribution of a given transaction in a given system is generically a log-normal distribution or, in some situations, a…

Performance · Computer Science 2007-05-23 Andreas Mielke

There is substantial interest in the effect of human mobility patterns on opportunistic communications. Inspired by recent work revisiting some of the early evidence for a L\'evy flight foraging strategy in animals, we analyse datasets on…

Data Analysis, Statistics and Probability · Physics 2010-10-01 Mervyn P. Freeman , Nicholas W. Watkins , Eiko Yoneki , Jon Crowcroft

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

Statistical Mechanics · Physics 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

Connectivity and topology are known to yield information about networks, whose origin is self-organized, but the impact of {\it temporal dynamics} in a network is still mostly unexplored. Using an information theoretic approach to e-mail…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Pierre Eckmann , Elisha Moses , Danilo Sergi

Models of message flows in an artificial group of users communicating via the Internet are introduced and investigated using numerical simulations. We assumed that messages possess an emotional character with a positive valence and that the…

Physics and Society · Physics 2010-08-25 Anna Chmiel , Janusz A. Holyst

Email is an integral part of people's work and life, enabling them to perform activities such as communicating, searching, managing tasks and storing information. Modern email clients take a step forward and help improve users' productivity…

Information Retrieval · Computer Science 2020-01-06 Xinyi Li , Chia-Jung Lee , Milad Shokouhi , Susan Dumais