Affine Weyl group approach to Painlevé equations

2003/04/28 by Masatoshi Noumi
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:34M55 #msc:39A12 #msc:37K35

paper · pdf

published as Proceedings of the ICM, Beijing 2002, vol. 3, 497--510

arxiv created 2003/04/28 · arxiv updated 2009/11/30

Abstract

An overview is given on recent developments in the affine Weyl group approach to Painlevé equations and discrete Painlevé equations, based on the joint work with Y. Yamada and K. Kajiwara.

Related

• New Expressions for Discrete Painlevé Equations
• Three q-Painlevé equations with affine Weyl group symmetry of type E₇⁽¹⁾
• Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E⁽¹⁾_n
• Higher order Painlevé equations of type A⁽¹⁾_l
• Hypergeometric solutions to the symmetric q-Painlevé equations