**Astérisque**

Volume: 296;
2004;
270 pp;
Softcover

MSC: Primary 01; 11; 12; 13; 17; 32; 33; 34; 35; 37; 39; 58; 81;
**Print ISBN: 978-2-85629-167-2
Product Code: AST/296**

List Price: $82.00

AMS Member Price: $73.80

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# Analyse Complexe, Systémes Dynamiques, Sommabilité des Séries Divergentes et Théories Galoisiennes (I): Volume en L’Honneur de Jean-Pierre Ramis

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*Michèle Loday-Richaud*

A publication of the Société Mathématique de France

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.