Topic Archive: Painleve equations
Model theory seminarKolchin seminar in Differential AlgebraFriday, September 19, 201412:30 pmGC 5382
Model theory and the Painlevé equations
CUNY Graduate Center
The Painlevé equations are nonlinear 2nd order ODEs and come in six families P1,…, P6, where P1 consists of the single equation $y′′=6y^2+t$, and P2,…, P6 come with some complex parameters. They were discovered strictly for mathematical considerations at the beginning of the 20th century but have arisen in a variety of important physical applications, including for example random matrix theory and general relativity.