1、公开讲座:大自然如何设计?——探索网络、流动中的自组织规律 2、Review of Complex Network Studies ——回顾复杂网络的基本文献、基本概念,主要关注无标度网络和小世界性质 3、Flow networks -- Data, Patterns, Principles and Basic Tools —— 介绍有关流量网的基本数据,已有的规律和基本的描述探索工具(马尔科夫链、投入产出分析方法、生态流网络分析法、源-目标矩阵法) 4、Allometric scaling of flow networks, efficiency and robustness —— 介绍我们已有的工作,关于复杂流动网络的异速生长规律。 5、Community and hierarchy(回顾复杂网络中的社区结构的各种定义,讨论我们如何来定义流网络中的层次结构,这次为探索性质的讨论,我们需要凝结出一个能具体写文章的方向,具体做东西) 6、Distance, first passage time, and other flow statistics (这次主要讨论如何将复杂网络中的距离的概念平行移到流网络中,也可以直接形成写文章的方向) 7、Multiscale structure and Renormalization (以网络重正化为主要目标,讨论流网络重正化的意义与方法) 8、Network Growth (以双曲空间中的网络生长[5]这篇文章为主线,讨论网络生长中的实证与模型) 9、Directionality and objective function of network flows (讨论流网络一般的演化方向,如最大流或最大熵产生等)
参考文献: [1] 张江:“流”的探索,http://www.swarmagents.cn/complex/complexsys/flow.htm (关于本研究方向的科普) [2] Banavar et al.: Size and form in efficient transportation networks, Nature 399: 130-132, 1999 [http://www.swarmagents.cn/thesis/download.asp?address=doc%2Fjake%5F205%2Epdf&;type=1&id=206] [3] Jiang Zhang,Liangpeng Guo: Scaling Behaviors of Weighted Food Webs as Energy Transportation Networks; Journal of Theoretical Biology 264 (2010) 760–770, [http://www.swarmagents.cn/thesis/doc/jake_285.pdf] [4] Lingfei Wu,Jiang Zhang: The decentralized flow structure of clickstreams on the web; European Physics Journal B (2013) 86: 266, DOI: 10.1140/epjb/e2013-40132-2 [http://www.swarmagents.cn/thesis/download.asp?address=doc/jake_370.pdf&type=1&id=371] [5] Pei-teng Shi,Jing-fei Luo,Peng-hao Wang, Jiang Zhang: Centralized Flow Structure of International Trade Networks for Different Products; International Conference on Management Science & Engineering, 2013.7 [http://www.swarmagents.cn/thesis/download.asp?address=doc/jake_369.pdf&type=1&id=370] [6] Papadopoulos et al. Popularity versus similarity in growing networks, Nature 489, 537-540, 2012 [7] Dorogovtsev et al. Lectures on Complex Networks, Oxford University Press, 2010 [8] Albert and Barabasi: Statistical Mechanics of Complex Networks, Review of Morden Physics, 74, 47-540, 2002 [9] Song et al.: Self-similarity of complex networks, Nature 433, 392-395, 2005 [10] Newman: Communities, modules and large-scale structure in networks, Nature Physics 8, 25-31, 2012