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Journal articleFaggian M, Ginelli F, Rosas F, et al.,
Synchronization in time-varying random networks with vanishing connectivity
A sufficiently connected topology linking the constituent units of a complexsystem is usually seen as a prerequisite for the emergence of collectivephenomena such as synchronization. We present a random network of heterogeneousphase oscillators in which the links mediating the interactions are constantlyrearranged with a characteristic timescale and, possibly, an extremely lowinstantaneous connectivity. We show that, provided strong coupling and fastenough rewiring are considered, the network is able to reach partialsynchronization even in the vanishing connectivity limit. We also provide anintuitive analytical argument, based on the comparison between the differentcharacteristic timescales of our system in the low connectivity regime, whichis able to predict the transition to synchronization threshold withsatisfactory precision. In the formal fast switching limit, finally, we arguethat the onset of collective synchronization is captured by the time-averagedconnectivity network. Our results may be relevant to qualitatively describe theemergence of consensus in social communities with time-varying interactions andto study the onset of collective behavior in engineered systems of mobile unitswith limited wireless capabilities.
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Conference paperRosas F, Chen K-C, Gunduz D,
Social diversity for reducing the impact of information cascades on social learning
Collective behavior in online social media and networks is known to becapable of generating non-intuitive dynamics associated with crowd wisdom andherd behaviour. Even though these topics have been well-studied in socialscience, the explosive growth of Internet computing and e-commerce makes urgentto understand their effects within the digital society. In this work we explorehow the stochasticity introduced by social diversity can help agents involvedin a inference process to improve their collective performance. Our resultsshow how social diversity can reduce the undesirable effects of informationcascades, in which rational agents choose to ignore personal knowledge in orderto follow a predominant social behaviour. Situations where social diversity isnever desirable are also distinguished, and consequences of these findings forengineering and social scenarios are discussed.
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