Combinatorics of the Berezin-Karpelevich Integral

Abstract: We present a topological expansion of the rectangular HCIZ integral, a unitary two-matrix integral which plays the role of the usual HCIZ integral in the context of rectangular and non-normal random matrices. This topological expansion is analytically valid as a large

N

asymptotic expansion in an oscillatory strong coupling regime. It involves a refinement of the monotone double Hurwitz numbers which refer to as two-legged.

This page was built for publication: Combinatorics of the Berezin-Karpelevich Integral

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6506200)