**Seminaires et Congres**

Volume: 14;
2007;
363 pp;
Softcover

MSC: Primary 12; 13; 14; 17; 30; 33; 34; 37; 39; 40; 58;
Secondary 32

**Print ISBN: 978-2-85629-229-7
Product Code: SECO/14**

List Price: $110.00

Individual Member Price: $88.00

# Théories Asymptotiques et Équations de Painlevé

Share this page *Edited by *
*Éric Delabaere; Michèle Loday-Richaud*

A publication of the Société Mathématique de France

The major part of this volume is devoted to the study of the sixth Painlevé 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 Painlevé 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 Painlevé equations and to integrability or non-integrability of certain Hamiltonian systems.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Table of Contents

# Table of Contents

## Theories Asymptotiques et Equations de Painleve

#### Readership

Graduate students and research mathematicians interested in number theory.