The KPZ equation and the random polymer model at weak disorder

Title:  The KPZ equation and the random polymer model at weak disorder

Speaker:  Professor  Francis Comets ,Univ. Paris Diderot and NYU Shanghai

Time:  4:00pm,  2019-3-14

Location:   200-9 The 2th Floor, Sir R. R. Shaw Building,Yuquan Campus, Zhejiang University

Abstract: We study Kardar-Parisi-Zhang equation in dimension 3 or larger driven by a Gaussian white noise regularized by a small convolution in space. By the Feynman-Kac formula, the equation relates to the model of directed polymer in random environment. When the noise intensity is small, the polymer is at weak disorder. Then, the solution of KPZ equation can be analyzed as the regularization parameter vanishes. Moreover, the fluctuations are Gaussian as in the Edwards-Wilkinson model. Joint work with Clement Cosco and Chiranjib Mukherjee.

All are welcome!

Contact Person: Zhonggen Su （苏中根）, suzhonggen@zju.edu.cn,  13588731705

                                   浙江大学统计研究所

                                        2019-3-10