Talks.cam

The solutions of Painlevé equations in terms of Fredholm determinants and consequences. - Harini Desiraju (University of Sydney)
2022-10-18 14:00 - 16:00 UTC | Seminar Room 2, Newton Institute
Painlevé equations can be expressed as a system of differential equations called the Lax pair. In this talk, I will present a construction of Fredholm determinants using the Lax matrices and show that they are related to the solutions of Painlevé equations. Such a construction also proves useful to study the asymptotics of the solutions at critical points.
