学术活动

报告人:陈木法
    中国科学院院士,第三世界科学院院士,北京师范大学数学系教授

时间:5月12日(周三)下午3:20-4:20

地点:数学系大会议室

摘要:

An interation of probability theory and statistical physics produces a new branch of mathematics --- interacting particle systems. A central topic in the field is studying the phase transitions. There are mainly two mathematical tools: the Peierls method and
the first non-trivial eigenvalue. The second approach leads us to reeximine the known mathematics on the spectral theory and conversely, produces some new results even in a very classical area. The talk begins with a short overview about these methods, and then introduce some recent results on the basic estimates of the principle eigenvalues with different boundaries for one-dimensional elliptic operators.