Characteristic Polynomials in Coupled Matrix Models
We study correlation functions of the characteristic polynomials in coupled matrix models based on the Schur polynomial expansion, which manifests their determinantal structure.
math-ph↗
arXiv subjects
Nicolas Babinet
Publications and source records attributed to Nicolas Babinet.
Pfaffian Interaction and $BCD$-quiver Matrix Models
We study matrix models involving Pfaffian interactions as generalizations of the standard $β= 1$ and $β= 4$ matrix models. We present the Pfaffian formulas for the partition function and the characteristic polynomial averages. We also explore the matrix chain with the Pfaffian interaction, which realizes the BCD-type quiver matrix models.
math-ph↗