Lyapunov exponent,universality and phase transition for products of random matrices
Title: Lyapunov exponent,universality and phase transition for products of random matrices
Speaker: Dr. 刘党政 , 中国科技大学
Time: 2:00pm, 2018-12-21
Location: 200-9, Sir R.R.Shaw Building, Yuquan Campus, Zhejiang University
Abstract: We solve the problem on local statistics of finite Lyapunov exponents for M products of NXN Gaussian random matrices as both M and N go to infinity, proposed by Akemann, Burda, Kieburg and Deift. When the ratio (M+1)/N changes from 0 to infinity , we prove that the local statistics undergoes a transition from GUE to Gaussian. Especially at the critical scaling (M+1)/N /to /gamma /in (0,/infty)， we observe a phase transition phenomenon.
Contact Person: Zhonggen Su, firstname.lastname@example.org