Discrete Dynamical Systems¶Associated with Root Systems of Indefinite Type

Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

Hiraku Nakajima · Duke Mathematical Journal · 1994 · 858 citations

Natural Sciences, Mathematics, Physics +15

Rational Surfaces Associated with Affine Root Systems¶and Geometry of the Painlevé Equations

Hidetaka Sakai · Communications in Mathematical Physics · 2001 · 506 citations · Full text

Natural Sciences, Mathematics, Differential Equations +8

Do integrable mappings have the Painlevé property?

B. Grammaticos, A. Ramani, V. Papageorgiou · Physical Review Letters · 1991 · 483 citations

Natural Sciences, Mathematics, Physics +14

Discrete versions of the Painlevé equations

A. Ramani, B. Grammaticos, Jarmo Hietarinta · Physical Review Letters · 1991 · 356 citations

Natural Sciences, Mathematics, Physics +13

Algebraic Entropy

Marc Bellon, C.-M. Viallet · Communications in Mathematical Physics · 1999 · 263 citations · Full text