概率论的进步  

Progress of Probability Theory

作　　者：陈木法[1,2] 

机构地区：[1]北京师范大学数学科学学院 [2]北京师范大学数学与复杂系统教育部重点实验室,北京100875

出　　处：《应用概率统计》2017年第5期538-550,共13页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金项目(批准号:11131003;11626245);教育部973项目和江苏高校优势学科建设工程项目资助

摘　　要：本文是笔者关于概率论进展专题所写的第4文.前3文见[1],[2],[5].这里,先简要介绍十年来概率论走向成熟的若干标志性事件;介绍这个相对年轻数学学科的成长点滴.然后结合个人经历,着重介绍十年来概率论与统计物理及数学其它学科分支的交叉渗透的若干成果.本文并非学科综述,而只是希望通过一、两个侧面,展示概率论的发展和进步.This is the fourth article on the same topic. The earlier ones are [1], [2], [5]. Here, a brief introduction to a number of landmark events in a decade, which indicates that the probability theory has been moving to mature, becomes a normal branch of mathematics. We introduce this relatively young mathematics disciplines of the growth bit. And then combined with personal experience, focusing on the cross-penetration and typicM results of probability theory with statistical physics and other disciplines branch of mathematics in the past decade. This article is not subject review, but only hope that through one or two sides, showing the development and progress of probability theory.

关 键 词：概率论 统计物理 核心数学 谱理论 特征值计算 

分 类 号：O211[理学—概率论与数理统计]