O. Lisovyy

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20012025

most citedHow instanton combinatorics solves Painlevé VI, V and III's

102 citations · 857 across the 31 of their papers we have counts for

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math.CA2023★ 1 cited

Painlevé-III Monodromy Maps Under the $D_{6} \to D_{8}$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions

Ahmad Barhoumi, Oleg Lisovyy, Peter D. Miller +1

The third Painlevé equation in its generic form, often referred to as Painlevé-III( $D_{6}$ ), is given by $$ \frac{{\rm d}^2u}{{\rm d}x^2} =\frac{1}{u}\left(\frac{{\rm d}u}{{\rm d}x}\…

math.CA2008

Algebraic solutions of the sixth Painleve equation

Oleg Lisovyy, Yuriy Tykhyy

We describe all finite orbits of an action of the extended modular group $Λ ˉ$ on conjugacy classes of SL(2,C)-triples. The result is used to classify all algebraic solutions of…

Painlevé-III Monodromy Maps Under the D6​→D8​ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions

Algebraic solutions of the sixth Painleve equation

Painlevé-III Monodromy Maps Under the $D_{6} \to D_{8}$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions