Information that guides daily decisions and attitudes is disseminated in several layers, including sporadic face-to-face encounters, social interactions with strong ties, online social networks, and mass media, all in a highly complex intertwined structure. Rumors and misinformation have a critical influence on the course of societies and can pose threats to social stability. How rumors are disseminated can be represented by network structures. However, simple graphs composed of pairwise interactions cannot capture the diversity of nuances in the propagation of rumors and, mainly, their influence on the behavior of individuals in situations where decisions need to be made. This presentation will consider recent advances in rumor prediction modeling, considering advanced network structures such as higher-order and multilayer networks. It will also discuss how misinformation and the cognitive capacity of perception impact the propagation of an infectious disease that spreads in a physical network of contacts. Empirical evidence of higher-order interactions and controversy-seeking mechanisms proposed in a model will also be presented.

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