时间:2017年12月20(星期三)14:00-15:30
地点:学院南路校区,主教217
报告一题目:非线性系统的可积性质及其应用
报告人:威尼斯wns885566、薛玉山副教授
摘要:非线性是事物客观发展规律的本质。非线性科学包括三大部分,分别为孤子(solitons)、混沌(fractals)和分形(chaos),其中,“孤子”概念是20世纪50年代人们在研究非线性现象时提出的。由于孤子在诸多科学领域中得以发现和证实,近半个世纪以来,孤子理论得到迅速发展,并且在非线性光学和数学等多个领域中有广泛应用。近来,人们将孤子理论应用于金融领域,并提出“金融孤子”的概念。本报告主要从五个方面展开:(1)孤子的背景介绍;(2)研究的主要工作;(3)布朗运动;(4)金融孤子;(5)总结与展望。本报告简要介绍解析研究非线性系统的可积性及孤子的相互作用机制。通过对变系数、耦合非线性发展方程及方程族的研究,获得一系列研究结果,如非线性系统的可积性、解析孤子解、Hamilton结构及Liouville可积性等。
报告二题目:The Potentialof Population Aging, House Price Fluctuation and the Debt of China’s Residential Sector
报告人:威尼斯wns885566、武修文副教授
摘要:Based on the facts of the aging of population, the fluctuation of house price and the structure of the assets and liabilities of the resident sector in China, we studies the effects of population aging and housing price potential risk to the household sector debt, and builds related variables and error correction model to further study the dynamic correlation relationship between the three. The empirical results show that, in the long term, the aging population and the house price decline will increase the risk of the debt, and the aging population will have a positive impact on the debt risk of the residential sector in the short term, but not as significant as in long term. The Intensified effect of debt risk of the residents as house pricing falling will not be shown in the short term.