Home > Research > Publications & Outputs > Center of Mass distribution of the Jacobi unita...

Associated organisational unit

Electronic data

View graph of relations

Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions

Research output: Working paper



In this paper, we study the probability distribution of the center of mass of the finite n Jacobi unitary ensembles with parameters alpha and beta; that is the probability that trace M_n is in (c, c+dc), where M_n are n by n matrices of the Jacobi unitary ensemble. We first compute the eponential moment generating function of the linear statistics c=x_1+...+x_n.