11 citations · 33 across the 5 of their papers we have counts for
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Natanzon-Orlov model and refined superintegrability
A. Mironov, V. Mishnyakov, A. Morozov +1
We reconsider the simple matrix model description of Hurwitz numbers proposed by S. Natanzon and A. Orlov, which uses the superintegrability property of the complex matrix model, a…
Spin Hurwitz theory and Miwa transform for the Schur Q-functions
A. Mironov, A. Morozov, A. Zhabin
Schur functions are the common eigenfunctions of generalized cut-and-join operators which form a closed algebra. They can be expressed as differential operators in time-variables a…
Connection between cut-and-join and Casimir operators
A. Mironov, A. Morozov, A. Zhabin
We study cut-and-join operators for spin Hurwitz partition functions. We provide explicit expressions for these operators in terms of derivatives in -variables without straightf…
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…
Genus expansion of matrix models and expansion of KP hierarchy
A. Andreev, A. Popolitov, A. Sleptsov +1
We study expansion of the KP hierarchy following Takasaki-Takebe arXiv:hep-th/9405096 considering several examples of matrix model -functions with natural genus expansio…