83 citations · 110 across the 2 of their papers we have counts for
4 papers
Universal Spectral Correlators and Massive Dirac Operators
P. H. Damgaard, S. M. Nishigaki
We derive the large-N spectral correlators of complex matrix ensembles with weights that in the context of Dirac spectra correspond to N_f massive fermions, and prove that the resu…
Renormalization group approach to multiple-arc random matrix models
S. Higuchi, C. Itoi, S. M. Nishigaki +1
We study critical and universal behaviors of unitary invariant non-gaussian random matrix ensembles within the framework of the large-N renormalization group. For a simple double-w…
Universality of random matrices in the microscopic limit and the Dirac operator spectrum
G. Akemann, P. H. Damgaard, U. Magnea +1
We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducin…
Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit
S. Nishigaki
We prove the universality of correlation functions of chiral complex matrix models in the microscopic limit (N->\infty, z->0, N z=fixed) which magnifies the crossover region around…