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Research output: Working paper
Research output: Working paper
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TY - UNPB
T1 - Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions
AU - Blower, Gordon
AU - Zhan, Longjun
AU - Chen, Yang
AU - Zhu, Mengkun
PY - 2017/10/9
Y1 - 2017/10/9
N2 - 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.
AB - 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.
KW - MIMO
KW - Random matrices
KW - Painleve differential equations
M3 - Working paper
BT - Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions
ER -