# 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…

## 13 Citations

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