Preface to Special Issue on the Geometry of the Painlevé equations

Nalini JoshiSchool of Mathematics and Statistics F07The University of Sydney, NSW2006, AustraliaCorrespondence[email protected]

Masatoshi NoumiDepartment of Mathematics, Kobe University Rokko, Kobe657-8501, JapanCorrespondence[email protected]

Hidetaka SakaiGraduate School of Mathematical Sciences, The University of Tokyo 381 Komaba Meguro-ku, Tokyo153-8914, JapanCorrespondence[email protected]

Claude M. VialletLPTHE, Université Pierre et Marie Curie, Centre National de la Recherche Scientifique UMR 7589 Boîte 126, 4 Place Jussieu, 75252Paris Cedex 05, FranceCorrespondence[email protected]

References

J.J. Duistermaat, N. Joshi, Okamoto's space for the first Painlevé equation in Boutroux coordinates. Archive for Rational Mechanics and Analysis, 202 (3) (2011) 707–785.
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K. Okamoto: Sur les feuilletages associés aux équation du second ordre à points critiques fixes de P. Painlevé. Espaces de conditions initiales. Japanese J. Math. 5 (1979) 1–79.
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H. Sakai, Rational surfaces associated with affine root systems and geometry of the Painlevé equations. Comm. Math. Phys. 220 (1) (2001) 165–229.
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M. P. Bellon and C.M. Viallet, Algebraic entropy, Comm. Math. Phys. 204 (2) (1999) 425–437.
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