报告题目：Theequilibrium measure standard of discrete input-output systems

报告人：南京航空航天大学 耿显民教授

报告地点：苏州大学本部览秀楼205

报告时间：2018年3月23日下午4:00点开始

报告内容摘要：

In a randomcircumstance, the equilibrium measure standard has difficult in the applicationin from many fields, industrial structure, the economics, the finance, to thewhole society. If the need of market does not meet with the products andoutputs, it come up the imbalance in economy and finance, which would disruptthe economic system. The input-output model is a classical method forequilibrium measure. It is universally acknowledged that the study of manyproblems in the economic dynamic programming is based on the stable solution ofthe dynamic input-output model. This paper studies the random dynamicinput-output model with consumption, in which the time-delay is a randomvariable; and will analyze the existence of the balanced growth solution by thetheory of Markov processes. This paper also proves that the collapse time isfinite almost surely, which in fact indicates that the random dynamicinput-output model does not possess a balanced growth solution, andconsequently, the economic system is supposed to be adjusted constantly.

耿显民教授目前就职于南京航空航天大学理学院。耿显民教授长期从事航空器可靠性、金融风险模型及可靠性、复杂网络可靠性、概率论与可靠性等方面的研究和应用工作。先后承担了国家自然科学基金项目、ARJ21飞机和大型客机型号研制等20余项课题的研究工作，多项研究成果达到国内领先或国际先进水平。获省部级科技进步奖2项，在国内外重要刊物上发表学术论文65篇。对Doob过程由0+-系统确定的结果以及与侯振挺教授的相应结果受到了国外学者 Reuter G.E.H. 的高度评价，Reuter在他的文章 “On Kendall''s conjecture concerning 0+-equivalence of Markovtransition functions”中写道 “…we hope to draw attention tothis recent and possibly inaccessible work by Chinese mathematicians”.（见J. London Math. Soc. 35(2)(1987) 377-384）.2002年以后主要研究工作是在金融风险、随机网络上的图值过程等方面；主要参与国家自然科学基金、国防科技工业民机专项、国家统计局重点科技项目、大型客机可靠性与适航专项等项目的研究与开发工作。获国务院研究中心“发展研究奖”二等奖一次。耿显民曾任中国工程概率统计常务理事，中国运筹学会不确定分会常务理事。