20 citations · 34 across the 5 of their papers we have counts for
5 papers
On monodromy of monodromy surfaces
Pieter Roffelsen, Alexander Stokes
Different instances of the Riemann-Hilbert correspondence relate initial value spaces of Painlevé equations to affine varieties known as monodromy surfaces, built from monodromy in…
On real and imaginary roots of generalised Okamoto polynomials
Pieter Roffelsen, Alexander Stokes
Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa-Satsuma equation, and showed that any of its members constitutes a partial-rogue wave provided that…
Roots of generalised Hermite polynomials when both parameters are large
Davide Masoero, Pieter Roffelsen
We study the roots of the generalised Hermite polynomials when both and are large. We prove that the roots, when appropriately rescaled, densely fill a bounded qu…
Poles of Painlevé IV Rationals and their Distribution
Davide Masoero, Pieter Roffelsen
We study the distribution of singularities (poles and zeros) of rational solutions of the Painlevé IV equation by means of the isomonodromic deformation method. Singularities are e…
Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
Pieter Roffelsen
We study the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation. Divisibility properties of the coe…