4 papers
Correlators in the theory of Integral Discriminants
A. Morozov, Sh. Shakirov
Integral discriminants provide a simple and fundamental model for non-Gaussian integrals, associated with homogeneous polynomials of degree r in n variables. We argue that, in this…
Group character averages via a single Laguerre
Alexei Morozov, Kazumi Okuyama
Average of exponential , i.e. of a group rather than an algebra character, in Gaussian matrix model is known to be an amusing generalization of Schur polynomial, wh…
Averages of Exponentials from the point of view of Superintegrability
A. Morozov
We calculate Gaussian averages of arbitrary exponentials of the matrix variable with the help of superintegrability, which provides explicit expressions for Schur averages. As…
Itzykson-Zuber correlators from character expansion
Alexei Morozov, Hasib Sifat
We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure…