论文标题
关于话语滑轮的意见动力
Opinion Dynamics on Discourse Sheaves
论文作者
论文摘要
我们介绍了一类新颖的拉普拉斯主义者和关于话语滑轮的扩散动态，作为网络动态的模型，并将其应用于社交网络上的意见动态。这些滑轮是将代数的代数数据结构束缚在网络（或更一般的空间）上，可以代表各种通信模式，包括选择性的意见调制和说谎。在介绍了捆式模型之后，我们在这种情况下开发了一条薄片的拉普拉斯人，并展示了如何通过网络上的扩散动态发展观点和通信。使用此框架解决了可控性，可及性，有限信心和谐波扩展的问题。
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 communications with diffusion dynamics over the network. Issues of controllability, reachability, bounded confidence, and harmonic extension are addressed using this framework.
