报告题目： Free energy in a mean field of Brownian particles

报告人：陈夏 田纳西大学

时间：12月28日  下午15:00-16:00

地点：1418
摘要： 
We compute the limit of the free energy of the  mean field generated by the independent Brownian particles pairwise interacting through a non-negative definite function.asymptotics for the parabolic Anderson models with Gaussian noise Our main theorem is relevant to the high momentthat is white in time, white or colored in space. Our approachi.i.d. random variables in infinite dimensional spaces.makes a novel connection to the celebrated Donsker-Varadhan'slarge deviation principle for thefor the ground state energy of bosonic quantum system.As an application of our main theorem, weprovide a probabilistic treatment to the Hartree's theory on the asymptotics