107 citations · 605 across the 29 of their papers we have counts for
30 papers
Tracy-Widom method for Janossy density and joint distribution of extremal eigenvalues of random matrices
Shinsuke M. Nishigaki
The Jánossy density for a determinantal point process is the probability density that an interval contains exactly points except for those at designated loci. The János…
Janossy densities for chiral random matrix ensembles and their applications to two-color QCD
Hiroyuki Fuji, Issaku Kanamori, Shinsuke M. Nishigaki
We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nyström-type quadrature method for evaluating the Fredholm determinant…
Individual eigenvalue distributions of crossover chiral random matrices and low-energy constants of SU(2)U(1) lattice gauge theory
Takuya Yamamoto, Shinsuke M. Nishigaki
We compute individual distributions of low-lying eigenvalues of a chiral random matrix ensemble interpolating symplectic and unitary symmetry classes by the Nyström-type method of…
Distribution of the k-th smallest Dirac operator eigenvalue : an update
Shinsuke M. Nishigaki
Based on the exact relationship to random matrix theory, we present an alternative method of evaluating the probability distribution of the k-th smallest Dirac eigenvalue in the ep…
Individual eigenvalue distributions for chGSE-chGUE crossover and determination of low-energy constants in two-color QCD+QED
Shinsuke M. Nishigaki, Takuya Yamamoto
We compute statistical distributions of individual low-lying eigenvalues of random matrix ensembles interpolating chiral Gaussian symplectic and unitary ensembles. To this aim we u…
Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
Keitaro Nagata, Kouji Kashiwa, Atsushi Nakamura +1
Canonical partition functions and Lee-Yang zeros of QCD at finite density and high temperature are studied. Recent lattice simulations have confirmed that the free energy of QCD is…