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math-ph2003★ 10 cited
Affine Weyl group approach to Painlevé equations
Masatoshi Noumi
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. K…
math-ph2002
A new Lax pair for the sixth Painlevé equation associated with
Masatoshi Noumi, Yasuhiko Yamada
A new Lax pair for the sixth Painlevé equation is constructed in the framework of the loop algebra . The whole affine Weyl group symmetry of $P…
math-ph2002
Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions
Masatoshi Noumi, Yasuhiko Yamada
By using an elementary matrix approach, based on the technique of discrete Toda equation, we construct subtraction-free rational and piecewise linear transformations associated wit…