2 papers
nlin.SI2025
Long-time asymptotic series for the Painleve II equation: Riemann-Hilbert approach
N. Iorgov, Yu. Zhuravlov
We elaborate a systematic way to obtain higher order contributions in the nonlinear steepest descent method for Riemann-Hilbert problem associated with homogeneous Painleve II equa…
math-ph2025
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 i…