复杂网络中的动力学现象
Dynamical Phenomena on Complex Networks
摘要：
本论文的工作涉及网络动力学过程的不同方面。考虑的第一个主题是复杂网络的探索过程的理论建模，例如用于映射互联网的“traceroute”过程。我们的平均场分析的跟踪路由模型提供了一个更好的理解互联网的拓扑结构。论文的第二部分致力于研究网络的加权表示及其与基础设施系统（如机场网络）的功能属性之间的关系。其他结果有关的扩散过程和渗流加权网络。最后，我们转向社交网络，介绍了一个沟通系统的出现在一个结构化的人口的个人的一个模型的博弈。我们表明，该模型产生的动力学现象强烈依赖于相互作用的拓扑结构。
英文摘要：
The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used to map the Internet. Our mean-field analysis of the traceroute model provides a better understanding of the Internet topology. A second part of the thesis is devoted to the study of the weighted representation of networks and their relations with the functional properties of infrastructure systems (e.g. the airports network). Other results concerning spreading processes and percolation on weighted networks are presented. Finally, we turns to social networks, introducing the Naming Game, a model for the emergence of a communication system in a structured population of individuals. We show that the dynamical phenomena generated by this model depend strongly on the topology of the interactions.
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。
