107 citations · 605 across the 29 of their papers we have counts for
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cond-mat.dis-nn1998★ 66 cited
Level spacings at the metal-insulator transition in the Anderson Hamiltonians and multifractal random matrix ensembles
Shinsuke M. Nishigaki
We consider orthogonal, unitary, and symplectic ensembles of random matrices with (1/a)(ln x)^2 potentials, which obey spectral statistics different from the Wigner-Dyson and are a…
cond-mat.dis-nn1998★ 14 cited
Level Spacing Distribution of Critical Random Matrix Ensembles
Shinsuke M. Nishigaki
We consider unitary invariant random matrix ensembles which obey spectral statistics different from the Wigner-Dyson, including unitary ensembles with slowly (~(log x)^2) growing p…
hep-th1998★ 88 cited
Smallest Dirac Eigenvalue Distribution from Random Matrix Theory
S. M. Nishigaki, P. H. Damgaard, T. Wettig
We derive the hole probability and the distribution of the smallest eigenvalue of chiral hermitian random matrices corresponding to Dirac operators coupled to massive quarks in QCD…