Communication activity in a social network: Relation between long-term correlations and inter-event clustering

Diego Rybski; Sergey V. Buldyrev; Shlomo Havlin; Fredrik Liljeros; Hernán A. Makse

doi:10.1038/srep00560

Communication activity in a social network: Relation between long-term correlations and inter-event clustering

Diego Rybski, Sergey V. Buldyrev, Shlomo Havlin, Fredrik Liljeros, Hernán A. Makse

Department of Physics

Research output: Contribution to journal › Article › peer-review

66 Scopus citations

Abstract

Human communication in social networks is dominated by emergent statistical laws such as non-trivial correlations and temporal clustering. Recently, we found long-term correlations in the user's activity in social communities. Here, we extend this work to study the collective behavior of the whole community with the goal of understanding the origin of clustering and long-term persistence. At the individual level, we find that the correlations in activity are a byproduct of the clustering expressed in the power-law distribution of inter-event times of single users, i.e. short periods of many events are separated by long periods of no events. On the contrary, the activity of the whole community presents long-term correlations that are a true emergent property of the system, i.e. they are not related to the distribution of inter-event times. This result suggests the existence of collective behavior, possibly arising from nontrivial communication patterns through the embedding social network.

Original language	English
Article number	560
Journal	Scientific Reports
Volume	2
DOIs	https://doi.org/10.1038/srep00560
State	Published - 2012

Bibliographical note

Funding Information:
“We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and Army Research Laboratory Cooperative Agreement Number W911NF-09-2-0053 (the ARL Network Science CTA). F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/ licenses/by-nc-nd/4.0/

Funding Information:
“We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.”

Funding Information:
We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.

Funding

“We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and Army Research Laboratory Cooperative Agreement Number W911NF-09-2-0053 (the ARL Network Science CTA). F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/ licenses/by-nc-nd/4.0/ “We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.

Funders	Funder number
ARL Network Science CTA
Swedish Bank Tercentenary Foundation
National Science Foundation	NSF-EF-0827508, W911NF-09-2-0053, 0827508, NSF-SES-0624116, 0624116
Office of Naval Research
Defense Threat Reduction Agency
Association of Research Libraries
Israel Science Foundation

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10.1038/srep00560

Cite this

@article{4ccaa42208574a31891dfdf156b9388d,

title = "Communication activity in a social network: Relation between long-term correlations and inter-event clustering",

abstract = "Human communication in social networks is dominated by emergent statistical laws such as non-trivial correlations and temporal clustering. Recently, we found long-term correlations in the user's activity in social communities. Here, we extend this work to study the collective behavior of the whole community with the goal of understanding the origin of clustering and long-term persistence. At the individual level, we find that the correlations in activity are a byproduct of the clustering expressed in the power-law distribution of inter-event times of single users, i.e. short periods of many events are separated by long periods of no events. On the contrary, the activity of the whole community presents long-term correlations that are a true emergent property of the system, i.e. they are not related to the distribution of inter-event times. This result suggests the existence of collective behavior, possibly arising from nontrivial communication patterns through the embedding social network.",

author = "Diego Rybski and Buldyrev, {Sergey V.} and Shlomo Havlin and Fredrik Liljeros and Makse, {Hern{\'a}n A.}",

note = "Funding Information: “We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and Army Research Laboratory Cooperative Agreement Number W911NF-09-2-0053 (the ARL Network Science CTA). F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License. The images or other third party material in this article are included in the article{\textquoteright}s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/ licenses/by-nc-nd/4.0/ Funding Information: “We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” Funding Information: We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.",

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AU - Makse, Hernán A.

N1 - Funding Information: “We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and Army Research Laboratory Cooperative Agreement Number W911NF-09-2-0053 (the ARL Network Science CTA). F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/ licenses/by-nc-nd/4.0/ Funding Information: “We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.” Funding Information: We thank C. Briscoe, J.F. Eichner, L.K. Gallos, and H.D. Rozenfeld for useful discussions. This work was supported by National Science Foundation Grants NSF-SES-0624116 and NSF-EF-0827508 and ARL. F.L. acknowledges financial support from The Swedish Bank Tercentenary Foundation. S.H. thanks the European EPIWORK project, the Israel Science Foundation, ONR and DTRA for financial support.

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Communication activity in a social network: Relation between long-term correlations and inter-event clustering

Abstract

Bibliographical note

Funding

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