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Related papers: Scaling laws of human interaction activity

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We present new empirical evidence, based on millions of interactions on Twitter, confirming that human contacts scale with population sizes. We integrate such observations into a reaction-diffusion metapopulation framework providing an…

Physics and Society · Physics 2014-11-27 Michele Tizzoni , Kaiyuan Sun , Diego Benusiglio , Márton Karsai , Nicola Perra

Infectious diseases and computer malwares spread among humans and computers through the network of contacts among them. These networks are characterized by wide connectivity fluctuations, connectivity correlations and the small-world…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

The study of human dynamics has attracted much interest from many fields recently. In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library…

Physics and Society · Physics 2015-05-20 Chao Fan , Jin-Li Guo , Yi-Long Zha

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

\abstract{Urban scaling theories posit that larger cities exhibit disproportionately higher levels of socioeconomic activity and human interactions. Yet, evidence from developing contexts (especially those marked by stark socioeconomic…

We investigate the response function of human agents as demonstrated by written correspondence, uncovering a new universal pattern for how the reactive dynamics of individuals is distributed across the set of each agent's contacts. In…

Physics and Society · Physics 2015-09-29 Marco Formentin , Alberto Lovison , Amos Maritan , Giovanni Zanzotto

On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is known as a neural scaling law. Of fundamental importance is…

Machine Learning · Statistics 2024-06-25 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan

Our experience of web access slowing down is a consequence of the aggregated web access pattern of web users. This is just one example among several human oriented services which are strongly affected by human activity patterns. Recent…

Physics and Society · Physics 2009-11-11 Alexei Vazquez

We show that energy concepts can contribute to the understanding of human travel behaviour. First, the average travel times for different modes of transportation are inversely proportional to the energy consumption rates measured for the…

Statistical Mechanics · Physics 2009-11-10 Robert Koelbl , Dirk Helbing

Growth patterns of complex systems predict how they change in sizes, numbers, masses, etc. Understanding growth is important, especially for many biological, ecological, urban, and socioeconomic systems. One noteworthy growth behavior is…

Physics and Society · Physics 2022-06-07 Jinkui Zhao

We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed [Phys.…

Statistical Mechanics · Physics 2009-11-07 Miroslav Kotrla , Frantisek Slanina , Jakub Steiner

When analyzing Bitcoin users' balance distribution, we observed that it follows a log-normal pattern. Drawing parallels from the successful application of Gibrat's law of proportional growth in explaining city size and word frequency…

General Economics · Economics 2024-09-17 Yu Zhang , Claudio Tessone

The emerging field of the Science of Cities has unveiled previously undiscovered facets of urban life. Contrary to the expectation of chaotic behaviour influenced solely by cultural and geographic factors, cities globally exhibit universal…

Physics and Society · Physics 2025-10-20 Airton Deppman

We study the spreading of information in a wide class of quantum systems, with variable-range interactions. We show that, after a quench, it generally features a double structure, whose scaling laws are related to a set of universal…

Statistical Mechanics · Physics 2018-07-09 Lorenzo Cevolani , Julien Despres , Giuseppe Carleo , Luca Tagliacozzo , Laurent Sanchez-Palencia

Social animals self-organise to create groups to increase protection against predators and productivity. One-to-one interactions are the building blocks of these emergent social structures and may correspond to friendship, grooming,…

Physics and Society · Physics 2021-06-02 Luis E C Rocha , Jan Ryckebusch , Koen Schoors , Matthew Smith

Fundamental laws of human mobility have been extensively studied, yet we are still lacking a comprehensive understanding of the mobility patterns of sharing conveyances. Since travellers would highly probably no longer possess their own…

Physics and Society · Physics 2022-02-16 Ruiqi Li , Ankang Luo , Fan Shang , Linyuan Lv , Jingfang Fan , Gang Lu , Liming Pan , Lixin Tian , H. Eugene Stanley

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

In this paper we combine statistical analysis of large text databases and simple stochastic models to explain the appearance of scaling laws in the statistics of word frequencies. Besides the sublinear scaling of the vocabulary size with…

Physics and Society · Physics 2014-11-05 Martin Gerlach , Eduardo G. Altmann

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

The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting species, stabilise them, and diversify gene pools [1-3].…

Statistical Mechanics · Physics 2009-11-11 D. Brockmann , L. Hufnagel , T. Geisel