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On Solutions of the Fuji–Suzuki–Tsuda System
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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We derive Fredholm determinant and series representation of the tau function of the Fuji–Suzuki–Tsuda system and its multivariate extension, thereby generalizing to higher rank the results obtained for Painlevé VI and the Garnier system. A special case of our construction gives a higher rank analog of the continuous hypergeometric kernel of Borodin and Olshanski. We also initiate the study of algebraic braid group dynamics of semi-degenerate monodromy, and obtain as a byproduct a direct isomonodromic proof of the AGT-W relation for ${c=N-1}$.
Mots-clés : isomonodromic deformations; Painlevé equations; Fredholm determinants. 
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     author = {Pavlo Gavrilenko and Nikolai Iorgov and Oleg Lisovyy},
     title = {On {Solutions} of the {Fuji{\textendash}Suzuki{\textendash}Tsuda} {System}},
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     year = {2018},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a122/}
}
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Pavlo Gavrilenko; Nikolai Iorgov; Oleg Lisovyy. On Solutions of the Fuji–Suzuki–Tsuda System. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a122/

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