157 citations · 373 across the 31 of their papers we have counts for
35 papers
Combinatorics of KP hierarchy structural constants
A. Andreev, A. Popolitov, A. Sleptsov +1
Following Natanzon-Zabrodin, we explore the Kadomtsev-Petviashvili hierarchy as an infinite system of mutually consistent relations on the second derivatives of the free energy wit…
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…
Hyperbolic Groups and Non-Compact Real Algebraic Curves
Sergey Natanzon, Anna Pratoussevitch
In this paper we study the spaces of non-compact real algebraic curves, i.e. pairs , where is a compact Riemann surface with a finite number of holes and punctures and $…
Integrable hierarchies associated to infinite families of Frobenius manifolds
Alexey Basalaev, Petr Dunin-Barkowski, Sergey Natanzon
We propose a new construction of an integrable hierarchy associated to any infinite series of Frobenius manifolds satisfying a certain stabilization condition. We study these hiera…
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.
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…