话语层的舆论动态
Opinion Dynamics on Discourse Sheaves
摘要：
我们引入了一类新的拉普拉斯算子和扩散动力学的话语层作为网络动力学的模型，应用于社交网络的意见动态。这些层是绑定到网络（或更一般的空间）的代数数据结构，可以代表各种通信模式，包括选择性意见调制和谎言。在介绍了层模型，我们开发了一个层拉普拉斯算子在这种情况下，并展示了如何发展的意见和通信与扩散动力学在网络上。可控性，可达性，有界的信心，和谐波扩展的问题，使用这个框架。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
