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

Research output: Working paper

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Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions. / Blower, Gordon; Zhan, Longjun; Chen, Yang et al.
2017.

Research output: Working paper

Harvard

Blower, G, Zhan, L, Chen, Y & Zhu, M 2017 'Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions'.

APA

Blower, G., Zhan, L., Chen, Y., & Zhu, M. (2017). Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions.

Vancouver

Blower G, Zhan L, Chen Y, Zhu M. Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions. 2017 Oct 9.

Author

Blower, Gordon ; Zhan, Longjun ; Chen, Yang et al. / Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions. 2017.

Bibtex

@techreport{8c4e3d827d6f4050b0ae24c3f6a5cbed,
title = "Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions",
abstract = "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. ",
keywords = "MIMO, Random matrices, Painleve differential equations",
author = "Gordon Blower and Longjun Zhan and Yang Chen and Mengkun Zhu",
year = "2017",
month = oct,
day = "9",
language = "English",
type = "WorkingPaper",

}

RIS

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 -