22 citations · 95 across the 11 of their papers we have counts for
7 papers · 1 filter
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.
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…
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.
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…
BKP and projective Hurwitz numbers
Sergei Natanzon, Alexander Orlov
We consider -fold branched coverings of the projective plane and show that the hypergeometric tau function of the BKP hierarchy of Kac and van de Leur is the gen…
Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions
A. Yu. Orlov, T. Shiota, K. Takasaki
We introduce a useful and rather simple class of BKP tau functions which which we shall call "easy tau functions". We consider two versions of BKP hierarchy, one we will call "smal…