75 citations · 256 across the 9 of their papers we have counts for
9 papers
The intersection numbers of the p-spin curves from random matrix theory
E. Brezin, S. Hikami
The intersection numbers of p-spin curves are computed through correlation functions of Gaussian ensembles of random matrices in an external matrix source. The p-dependence of inte…
On an Airy matrix model with a logarithmic potential
E. Brezin, S. Hikami
The Kontsevich-Penner model, an Airy matrix model with a logarithmic potential, may be derived from a simple Gaussian two-matrix model through a duality. In this dual version the F…
Instanton and Superconductivity in Supersymmetric CP(N-1) Model
Shinobu Hikami, Takuro Yoshimoto
The two dimensional supersymmetric CP(N-1) model has a striking similarity to the N=2 supersymmetric gauge theory in four dimensions. The BPS mass formula and the curve of the marg…
Characteristic polynomials of random matrices at edge singularities
E. Brezin, S. Hikami
We have discussed earlier the correlation functions of the random variables $\det(\la-X)$ in which is a random matrix. In particular the moments of the distribution of these ra…
Density of State in a Complex Random Matrix Theory with External Source
S. Hikami, R. Pnini
The density of state for a complex random matrix coupled to an external deterministic source is considered for a finite N, and a compact expression in an integral repre…
Oscillating density of states near zero energy for matrices made of blocks with possible application to the random flux problem
E. Brézin, S. Hikami, A. Zee
We consider random hermitian matrices made of complex blocks. The symmetries of these matrices force them to have pairs of opposite real eigenvalues, so that the average density of…