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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 215, Number 3, Pages 377–387
DOI: https://doi.org/10.4213/tmf10406 (Mi tmf10406) 		 
Integrals of tau functions: A round dance tau function and multimatrix integrals

A. Yu. Orlovab

a Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia
b Alikhanov Institute for Theoretical and Experimental Physics, National Research Center "Kurchatov Institute," Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10406
Abstract: A multimatrix model can be built on two ingredients: the choice of an embedded graph and the choice of the integrand, that is, a tau function. We compare the simplest nontrivial tau function of the Toda lattice and the simplest nontrivial tau function of the $\mathcal N$-component Toda lattice in the context of their application to multimatrix integrals.
Keywords: tau function, special solution of the multicomponent KP hierarchy, embedded graph, Hurwitz number.
Funding agency Grant number
Russian Science Foundation 20-12-00195
The work was supported by the Russian Science Foundation (grant No. 20-12-00195).
Received: 20.11.2022
Revised: 15.02.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 215, Issue 3, Pages 784–792
DOI: https://doi.org/10.1134/S004057792306003X
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Document Type: Article
Language: Russian
Citation: A. Yu. Orlov, “Integrals of tau functions: A round dance tau function and multimatrix integrals”, TMF, 215:3 (2023), 377–387; Theoret. and Math. Phys., 215:3 (2023), 784–792
Citation in format AMSBIB
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\crossref{https://doi.org/10.1134/S004057792306003X}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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