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复杂系统中的强随机相关性

Strong random correlations in complex systems
课程网址: http://videolectures.net/eccs08_kondor_srcics/  
主讲教师: Imre Kondor
开课单位: 洛夫德大学
开课时间: 2008-10-17
课程语种: 英语
中文简介:
复杂的系统(生物、大脑、社会、经济等)似乎依赖于大量的细节,这些细节使它们几乎不可约化,因此它们不能用少量的变量来描述。这给此类系统的建模和我们可能提出描述它们的任何模型的参数化或校准带来了根本困难。此外,这种不可约性还意味着系统中的大量组件之间存在强随机相关性,这些组件不一定是几何意义上的近邻,也不一定是由强直接相互作用连接的。这使得系统对外部控制参数的变化、边界条件等敏感,对计算机仿真提出了严峻的挑战。这些想法在一些玩具模型上得到了说明:旋转玻璃、随机细胞自动机和游戏理论模型。
课程简介: Complex systems (living organisms, the brain, society, the economy, etc.) seem to depend on a huge number of details which makes them nearly irreducible, so that they cannot be described in terms of a small number of variables. This poses fundamental difficulties for the modeling of such systems and the parametrization or calibration of any model that we may propose to describe them. Furthermore, this irreducibility also implies the existence of strong random correlations between a large number of the components of the system that are not necessarily close neighbours in a geometric sense, or not necessarily linked by strong, direct interactions. This makes the system sensitive to changes in the external control parameters, to boundary conditions, etc., and poses a serious challenge to computer simulations. These ideas are illustrated on some toy models: a spin glass, a random cellular automaton, and a game theoretical model.
关 键 词: 科学; 复杂性科学; 建模
课程来源: 视频讲座网
最后编审: 2020-06-19:cxin
阅读次数: 28