184 citations · 1.4k across the 36 of their papers we have counts for
36 papers
Knots from the random matrix theory with a replica
Shinobu Hikami
A classical knot is described by a one-stroke trajectory with entanglements of a string. The replica method appears as a powerful tool in statistical mechanics for a polymer or sel…
Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential
Shinobu Hikami
The intersection numbers for p spin curves of the moduli space M(g,n) are considered for D type by a matrix model. The asymptotic behavior of the large genus g limit and large p li…
Punctures and p-spin curves from matrix models II
S. Hikami, E. Brezin
We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an…
Spectral Form Factor for Time-dependent Matrix model
Arkaprava Mukherjee, Shinobu Hikami
The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size . The spectral form factor…
Conformal Bootstrap Analysis for Localization: Symplectic Case
Shinobu Hikami
The localization phenomena due to the random potential scattering is widely discussed in the electron and photon systems, where the theoretical approach is the nonlinear model…
Random super matrices with an external source
E. Brezin, S. Hikami
In the past we have considered Gaussian random matrix ensembles in the presence of an external matrix source. The reason was that it allowed, through an appropriate tuning of the e…