On the Riemann-Hilbert problem for a $q$-difference Painlev\'e equation
Exactly Solvable and Integrable Systems
2021-01-20 v3 Mathematical Physics
math.MP
Abstract
A Riemann-Hilbert problem for a -difference Painlev\'e equation, known as , is shown to be solvable. This yields a bijective correspondence between the transcendental solutions of and corresponding data on an associated -monodromy surface. We also construct the moduli space of explicitly.
Cite
@article{arxiv.1911.05854,
title = {On the Riemann-Hilbert problem for a $q$-difference Painlev\'e equation},
author = {Nalini Joshi and Pieter Roffelsen},
journal= {arXiv preprint arXiv:1911.05854},
year = {2021}
}
Comments
32 pages, 1 figure, bibliography updated and 1 reference added