Geodesic
Integrals of tau functions: A~round dance tau function and multimatrix integrals
Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 3, pp. 377-387

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2023_215_3_a2,
     author = {A. Yu. Orlov},
     title = {Integrals of tau functions: {A~round} dance tau function and multimatrix integrals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {377--387},
     publisher = {mathdoc},
     volume = {215},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_215_3_a2/}
}
TY  - JOUR
AU  - A. Yu. Orlov
TI  - Integrals of tau functions: A~round dance tau function and multimatrix integrals
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2023
SP  - 377
EP  - 387
VL  - 215
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2023_215_3_a2/
LA  - ru
ID  - TMF_2023_215_3_a2
ER  - 
%0 Journal Article
%A A. Yu. Orlov
%T Integrals of tau functions: A~round dance tau function and multimatrix integrals
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2023
%P 377-387
%V 215
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2023_215_3_a2/
%G ru
%F TMF_2023_215_3_a2
A. Yu. Orlov. Integrals of tau functions: A~round dance tau function and multimatrix integrals. Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 3, pp. 377-387. http://geodesic.mathdoc.fr/item/TMF_2023_215_3_a2/