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Social Contagion on Higher-Order Structures

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Higher-Order Systems

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

In this Chapter, we discuss the effects of higher-order structures on SIS-like processes of social contagion. After a brief motivational introduction where we illustrate the standard SIS process on networks and the difference between simple and complex contagions, we introduce spreading processes on higher-order structures starting from the most general formulation on hypergraphs and then moving to several mean-field and heterogeneous mean-field approaches. The results highlight the rich phenomenology brought by taking into account higher-order contagion effects: both continuous and discontinuous transitions are observed, and critical mass effects emerge. We conclude with a short discussion on the theoretical results regarding the nature of the epidemic transition and the general need for data to validate these models.

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Notes

  1. 1.

    http://www.sociopatterns.org/datasets/.

  2. 2.

    For instance, the authors of [31] study the case in which \(\lambda _3 <0\), i.e., an individual is less likely to adopt a trend if this trend is popular in the group, and call this ingredient the "hipster effect"; this effect also can lead to a region of bi-stability in the phase diagram [31]. Note that heterogeneous recovery rates [43, 44] and “complex recovery” rates depending on the state of the surrounding individuals have also been considered in the literature [45].

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Author information

Authors and Affiliations

  1. Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

    Alain Barrat & Iacopo Iacopini

  2. ISI Foundation, Torino, Italy

    Guilherme Ferraz de Arruda & Yamir Moreno

  3. Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018, Zaragoza, Spain

    Yamir Moreno

Authors
  1. Alain Barrat
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  2. Guilherme Ferraz de Arruda
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  3. Iacopo Iacopini
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  4. Yamir Moreno
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Corresponding author

Correspondence to Alain Barrat .

Editor information

Editors and Affiliations

  1. Department of Network and Data Science, Central European University, Vienna, Austria

    Federico Battiston

  2. ISI Foundation, Turin, Italy

    Giovanni Petri

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Barrat, A., Ferraz de Arruda, G., Iacopini, I., Moreno, Y. (2022). Social Contagion on Higher-Order Structures. In: Battiston, F., Petri, G. (eds) Higher-Order Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-91374-8_13

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