102 citations · 857 across the 31 of their papers we have counts for
16 papers · 1 filter
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…
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…
Irregular conformal blocks and connection formulae for Painlevé V functions
O. Lisovyy, H. Nagoya, J. Roussillon
We prove a Fredholm determinant and short-distance series representation of the Painlevé V tau function associated to generic monodromy data. Using a relation of to t…
On solutions of the Fuji-Suzuki-Tsuda system
Pavlo Gavrylenko, Nikolai Iorgov, Oleg Lisovyy
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…