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Spectrum of SYK model
发布时间: 2018-03-03     21:22   【返回上一页】 发布人:冯仁杰


 

北京师范大学数学科学学院

 

概率几何学术报告

 

 

报告题目:Spectrum of SYK model  

 

报告人:冯仁杰教授 (北大数学中心)

 

时间地点:38日上午10:30-11:30后主楼1223

 

邀请人:葛建全

 

报告摘要:The SYK model is a random matrix model arising from condensed matter theory in statistics physics and black hole theory in high energy physics.  In this talk, we will first review some elementary results in random matrix theory, then we will introduce the SYK model. I will explain the spectral properties of the random matrix of SYK model,  such as the global density where a phase transition is observed, the central limit theorem of the linear statistics and the concentration of measure theory. In particular, we will derive the large deviation principle when the number of interaction of fermions is 2. This is my joint work with G. Tian and D. Wei.