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Analyse Complexe, Systémes Dynamiques, Sommabilité des Séries Divergentes et Théories Galoisiennes (II): Volume en L'Honneur de Jean-Pierre Ramis
Edited by: Michèle Loday-Richaud, Université d'Angers, France
A publication of the Société Mathématique de France.
Astérisque
2004; 232 pp; softcover
Number: 297
ISBN-10: 2-85629-168-6
ISBN-13: 978-2-85629-168-9
List Price: US$59
Individual Members: US$53.10
Order Code: AST/297
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This item is also sold as part of the following set: AST/296/97

This first of two bound volumes present the proceedings of the conference, Complex Analysis, Dynamical Systems, Summability of Divergent Series and Galois Theories, held in Toulouse on the occasion of J.-P. Ramis' sixtieth birthday.

The first volume opens with two articles composed of recollections and three articles on J.-P. Ramis' works on complex analysis and ODE theory, both linear and non-linear. This introduction is followed by papers concerned with Galois theories, arithmetic or integrability: analogies between differential and arithmetical theories, \(q\)-difference equations, classical or \(p\)-adic, the Riemann-Hilbert problem and renormalization, \(b\)-functions, descent problems, Krichever modules, the set of integrability, Drach theory, and the VI\({}^{{th}}\) Painlevé equation.

The second volume contains papers dealing with analytical or geometrical aspects: Lyapunov stability, asymptotic and dynamical analysis for pencils of trajectories, monodromy in moduli spaces, WKB analysis and Stokes geometry, first and second Painlevé equations, normal forms for saddle-node type singularities, and invariant tori for PDEs.

The volumes are suitable for graduate students and researchers interested in differential equations, number theory, geometry, and topology.

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.

Readership

Graduate students and researchers interested in differential equations, number theory, geometry, and topology.

Table of Contents

  • F. Cano, R. Moussu, and F. Sanz -- Pinceaux de courbes intégrales d'un champ de vecteurs analytique
  • B. Dubrovin -- On analytic families of invariant tori for PDEs
  • N. Joshi, K. Kahwara, and M. Mazzocco -- Generating function associated with the determinant formula for the solutions of the Painlevé II equation
  • V. Kaloshin, J. N. Mather, and E. Valdinoci -- Instability of resonant totally elliptic points of symplectic maps in dimension \(4\)
  • T. Kawai, T. Koike, Y. Nishikawa, and Y. Takei -- On the Stokes geometry of higher order Painlevé equations
  • F. Loray -- Versal deformation of the analytic saddle-node
  • C. Simpson -- Asymptotics for general connections at infinity
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