activity
20032024
most citedAround spin Hurwitz numbers

22 citations · 95 across the 11 of their papers we have counts for

collaborators

12 papers

nlin.SI2024

Bilinear Expansions of KP Multipair Correlators in BKP Correlators

Aleksandr Yu. Orlov

I present a generalization of our joint works with John Harnad (2021) that relates Schur functions, KP tau functions and KP correlation functions to Schur's -functions, BKP tau…

math-ph2022★ 2 cited

New solvable matrix models III

A. Yu. Orlov

We present a class of matrix models which can be written as double series in the projective Schur functions.

math-ph2020★ 22 cited

Around spin Hurwitz numbers

A. D. Mironov, A. Yu Morozov, S. M. Natanzon +1

We present a review of the spin Hurwitz numbers, which count the ramified coverings with spin structures. They are related to peculiar Schur functions, which are actually relat…

math-ph2020★ 9 cited

Hurwitz numbers from Feynman diagrams

Sergey M. Natanzon, Aleksandr Yu. Orlov

We obtain Hurwitz numbers as the number of Feynman diagrams of a certain type divided by the order of the automorphism group of the diagram.

math-ph2020★ 1 cited

Hurwitz numbers from matrix integrals over Gaussian measure

Sergei M. Natanzon, Aleksandr Yu. Orlov

We explain how Gaussian integrals over ensemble of complex matrices with source matrices generate Hurwitz numbers of the most general type, namely, Hurwitz numbers with arbitrary o…

nlin.SI2019★ 2 cited

Integrals of tau functions

S. M. Natanzon, A. Yu. Orlov

We consider integrals of tau functions of Zakharov-Shabat systems whose higher times are related to the eigenvalues of products of random matrices. Apart of random matrices there i…