102 citations · 857 across the 31 of their papers we have counts for
32 papers
Many-faced Painlevé I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches
Nikolai Iorgov, Kohei Iwaki, Oleg Lisovyy +1
In recent years, the Fourier series (Zak transform) structure of the Painlevé I tau function has emerged in multiple contexts. Its main building block admits several conjectural in…
Painlevé-III Monodromy Maps Under the 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(), is given by $$ \frac{{\rm d}^2u}{{\rm d}x^2} =\frac{1}{u}\left(\frac{{\rm d}u}{{\rm d}x}\…
Semiclassical approach to form factors in the sinh-Gordon model
Michael Lashkevich, Oleg Lisovyy, Tatiana Ushakova
Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter in the background of a radial classical solution, which descr…
Perturbative connection formulas for Heun equations
O. Lisovyy, A. Naidiuk
Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular points can be expressed in terms of the large order asymptotics of the corresponding…
Accessory parameters in confluent Heun equations and classical irregular conformal blocks
O. Lisovyy, A. Naidiuk
Classical Virasoro conformal blocks are believed to be directly related to accessory parameters of Floquet type in the Heun equation and some of its confluent versions. We extend t…
On self-similar solutions of the vortex filament equation
O. Gamayun, O. Lisovyy
We study self-similar solutions of the binormal curvature flow which governs the evolution of vortex filaments and is equivalent to the Landau-Lifshitz equation. The corresponding…