64 citations · 423 across the 19 of their papers we have counts for
3 papers · 1 filter
Universal Correlations in the random matrices and 1D particles with long range interactions in a confinement potential
Y. Morita, Y. Hatsugai, M. Kohmoto
We study the correlations between eigenvalues of the large random matrices by a renormalization group approach. The results strongly support the universality of the correlations pr…
Universal Behavior of Correlations between Eigenvalues of Random Matrices
T. S. Kobayakawa, Y. Hatsugai, M. Kohmoto +1
The universal connected correlations proposed recently between eigenvalues of unitary random matrices is examined numerically. We perform an ensemble average by the Monte Carlo sam…
Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu
For Bloch electrons in a magnetic field, explicit solutions are obtained at the center of the spectrum for the Bethe ansatz equations recently proposed by Wiegmann and Zabrodin. Wh…