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      Modeling Users' Activity on Twitter Networks: Validation of Dunbar's Number

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      1 , 2 , 1 , 3 , * , 1 , 2 , 4
      PLoS ONE
      Public Library of Science

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          Abstract

          Microblogging and mobile devices appear to augment human social capabilities, which raises the question whether they remove cognitive or biological constraints on human communication. In this paper we analyze a dataset of Twitter conversations collected across six months involving 1.7 million individuals and test the theoretical cognitive limit on the number of stable social relationships known as Dunbar's number. We find that the data are in agreement with Dunbar's result; users can entertain a maximum of 100–200 stable relationships. Thus, the ‘economy of attention’ is limited in the online world by cognitive and biological constraints as predicted by Dunbar's theory. We propose a simple model for users' behavior that includes finite priority queuing and time resources that reproduces the observed social behavior.

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          Most cited references19

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          Understanding individual human mobility patterns

          Despite their importance for urban planning, traffic forecasting, and the spread of biological and mobile viruses, our understanding of the basic laws governing human motion remains limited thanks to the lack of tools to monitor the time resolved location of individuals. Here we study the trajectory of 100,000 anonymized mobile phone users whose position is tracked for a six month period. We find that in contrast with the random trajectories predicted by the prevailing Levy flight and random walk models, human trajectories show a high degree of temporal and spatial regularity, each individual being characterized by a time independent characteristic length scale and a significant probability to return to a few highly frequented locations. After correcting for differences in travel distances and the inherent anisotropy of each trajectory, the individual travel patterns collapse into a single spatial probability distribution, indicating that despite the diversity of their travel history, humans follow simple reproducible patterns. This inherent similarity in travel patterns could impact all phenomena driven by human mobility, from epidemic prevention to emergency response, urban planning and agent based modeling.
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            Statistical physics of social dynamics

            Statistical physics has proven to be a very fruitful framework to describe phenomena outside the realm of traditional physics. The last years have witnessed the attempt by physicists to study collective phenomena emerging from the interactions of individuals as elementary units in social structures. Here we review the state of the art by focusing on a wide list of topics ranging from opinion, cultural and language dynamics to crowd behavior, hierarchy formation, human dynamics, social spreading. We highlight the connections between these problems and other, more traditional, topics of statistical physics. We also emphasize the comparison of model results with empirical data from social systems.
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              Neocortex size as a constraint on group size in primates

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                Author and article information

                Contributors
                Role: Editor
                Journal
                PLoS One
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, USA )
                1932-6203
                2011
                3 August 2011
                : 6
                : 8
                : e22656
                Affiliations
                [1 ]School of Informatics and Computing, Center for Complex Networks and Systems Research, Indiana University, Bloomington, Indiana, United States of America
                [2 ]Pervasive Technology Institute, Indiana University, Bloomington, Indiana, United States of America
                [3 ]Complex Systems Computational Lab, Linkalab, Cagliari, Italy
                [4 ]Institute for Scientific Interchange, Turin, Italy
                University of Maribor, Slovenia
                Author notes

                Conceived and designed the experiments: BG NP AV. Performed the experiments: NP. Analyzed the data: BG. Wrote the paper: BG NP AV.

                Article
                PONE-D-11-10509
                10.1371/journal.pone.0022656
                3149601
                21826200
                e8393c65-227f-4c05-b6b7-6b98c827e3a2
                Gonçalves et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
                History
                : 10 June 2011
                : 27 June 2011
                Page count
                Pages: 5
                Categories
                Research Article
                Computer Science
                Computerized Simulations
                Medicine
                Mental Health
                Psychology
                Social Psychology
                Physics
                Interdisciplinary Physics
                Social and Behavioral Sciences
                Communications
                Psychology
                Social Psychology
                Sociology
                Computational Sociology
                Social Networks
                Social Research
                Social Systems

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                Uncategorized

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