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Théories Asymptotiques Et Équations de Painlevé

其他書名	Angers, Juin 2004
出版	Société mathématique de France, 2006
ISBN	28562922919782856292297
URL	http://books.google.com.hk/books?id=9a0rAAAAYAAJ&hl=&source=gbs_api

註釋The major part of this volume is devoted to the study of the sixth Painleve equation through a variety of approaches, namely elliptic representation, the classification of algebraic solutions and so-called ``dessins d'enfants'' deformations, affine Weyl group symmetries and dynamics using the techniques of Riemann-Hilbert theory and those of algebraic geometry. Discrete Painleve equations and higher order equations, including the mKdV hierarchy and its Lax pair and a WKB analysis of perturbed Noumi-Yamada systems, are given a place of study, as well as theoretical settings in Galois theory for linear and non-linear differential equations, difference and $q$-difference equations with applications to Painleve equations and to integrability or non-integrability of certain Hamiltonian systems.