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    Area of Science:

    • Social network analysis
    • Computational sociology
    • Collective behavior studies

    Background:

    • Social synchrony (SS) is a key emergent phenomenon in human societies.
    • Individual mimicry can lead to synchronized group behavior over time, particularly in online communities.
    • Understanding the mechanisms driving SS is crucial for analyzing collective dynamics.

    Purpose of the Study:

    • To propose a discrete network model for social synchrony (SS).
    • To incorporate key attributes of SS: action depth, breadth of impact, role heterogeneity, and non-random emergence.
    • To provide a framework for better understanding human collective behavior.

    Main Methods:

    • Development of a discrete network model for SS.
    • Analytical investigation of the model's properties.
    • Computer simulations to validate model predictions.
    • Comparison of analytical and simulation results for model agreement.

    Main Results:

    • The proposed model effectively captures the four key attributes of social synchrony.
    • Analytical and simulation results show strong agreement, validating the model.
    • The model demonstrates how individual mimicry can lead to emergent group behavior.
    • The model explains the non-random and heterogeneous nature of SS.

    Conclusions:

    • The discrete network model provides a robust framework for understanding social synchrony.
    • The model's ability to explain SS characteristics offers insights into collective human behavior.
    • This work contributes to the scientific understanding of emergent social phenomena.