Opinion Dynamics on Discourse Sheaves

@article{Hansen2021OpinionDO,
  title={Opinion Dynamics on Discourse Sheaves},
  author={Jakob Hansen and Robert Ghrist},
  journal={SIAM J. Appl. Math.},
  year={2021},
  volume={81},
  pages={2033-2060}
}
We introduce a novel class of Laplacians and diffusion dynamics on discourse sheaves as a model for network dynamics, with application to opinion dynamics on social networks. These sheaves are algebraic data structures tethered to a network (or more general space) that can represent various modes of communication, including selective opinion modulation and lying. After introducing the sheaf model, we develop a sheaf Laplacian in this context and show how to evolve both opinions and… 

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