Annales de la Faculté des Sciences de Toulouse

François Bolley

Cédric Villani

Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities

Frédéric Hélein

Removability of singularities of harmonic maps into pseudo-riemannian manifolds

Isabeau Birindelli

Françoise Demengel

Comparison principle and Liouville type results for singular fully nonlinear operators

Régis Monneau

On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling

Frédéric Fauvet

David Sauzin

ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE
FRÉDÉRIC FAUVET
DAVID SAUZIN
Introduction
Annales de la faculté des sciences de Toulouse 6e série, tome 13,
no 3 (2004), p. 289-290
<http://www.numdam.org/item?id=AFST_2004_6_13_3_289_0>
© Université Paul Sabatier, 2004, tous droits réservés.
L’accès aux archives de la revue « Annales de la faculté des sciences de
Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les
conditions générales d’utilisation (http://www.numdam.org/conditions).
Toute utilisation commerciale ou impression systématique est constitu-
tive d’une infraction pénale. Toute copie ou impression de ce fichier
doit contenir la présente mention de copyright.
Article numérisé dans le cadre du programme
Numérisation de documents anciens mathématiques
http://www.numdam.org/
-289-
Introduction
The Conference "Resurgence, Alien Calculus, Resummability, Trans-
series" took place from November 18th to 22nd, 2002 at the CIRM (Centre
International de Rencontres Mathématiques - French Mathematical
Society) in Marseille, France.
More than 70 participants exchanged ideas in a stimulant atmosphere
and about 25 lectures were given, part of which gave rise to the written
texts contained in this Volume. The contributions have all been individually
refereed.
This Conference was focused on giving the state of the art about var-
ious theories developed by Jean Ecalle in the last 25 years, while taking
into account recent results in domains ranging from dynamical systems to
algebraic combinatorics. The following subjects have been tackled:
Analytic classification of real and complex dynamical systems; Ambiguities
in the resummation of divergent series; Real resummation; Transseries solu-
tions of dynamical systems in one or several variables; The combinatorics of
moulds and comoulds, in particular in the context of the determination of
relations between multizeta values (MZV); The ARI Lie algebra; Computer
algebra and mould calculus.
Though centered on Jean Ecalle’s achievements, other approaches or
methods in related questions were also considered:
WKB method; Exact semi-classical asymptotics; Differential Galois theory;
q-difference equations (asymptotics, symmetries); Multisummability of for-
mal series solutions of dynamical systems.
We express our deep gratitude to Anne Duval, Robert Moussu and Jean-
Pierre Ramis who have supported this meeting and constituted its Scientific
Committee.
Jean Ecalle has from the start been enthusiastic about our project and
shared with us his ideas: we thank him heartily.
We address many thanks to the Editorial Board of the Annales de la
Faculté des Sciences de Toulouse.
It is also a pleasure to acknowledge our gratitude to the following in-
stitutions that contributed financially to this Conference: the CIRM, the
Observatoire de Paris, the Institut Universitaire de France (J.-P. Ramis),
the European TMR "Holomorphic Foliations", the Universities of Dijon,
Lille, Strasbourg and Toulouse.
Frédéric Fauvet and David Sauzin
- 290 -


Introduction

Jean Ecalle

Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI

Bruno Vallet

The arborification-coarborification transform : analytic, combinatorial, and algebraic aspects

M. Ledoux

ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE
M. LEDOUX
Editor’s note
Annales de la faculté des sciences de Toulouse 6e série, tome 13,
no 1 (2004), p. 1
<http://www.numdam.org/item?id=AFST_2004_6_13_1_1_0>
© Université Paul Sabatier, 2004, tous droits réservés.
L’accès aux archives de la revue « Annales de la faculté des sciences de
Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les
conditions générales d’utilisation (http://www.numdam.org/conditions).
Toute utilisation commerciale ou impression systématique est constitu-
tive d’une infraction pénale. Toute copie ou impression de ce fichier
doit contenir la présente mention de copyright.
Article numérisé dans le cadre du programme
Numérisation de documents anciens mathématiques
http://www.numdam.org/
-1-
Editor
M. Ledoux
This Special Issue of the Annales de la Faculté des Sciences de Toulouse
collects papers from the laureates of the Fermât Prizes 1999 and 2001.
The Fermat Prize for Mathematics Research is delivered by the Paul-
Sabatier University of Toulouse under the patronage of ASTRIUM SAS. It
rewards research work in fields where the contributions of Pierre de Fermat
have been decisive: Variational Principles, Probability Theory and Analyti-
cal Geometry, Number Theory. Former winners are A. Bahri, K. A. Ribbet,
J.-L. Colliot-Thélène, J.-M. Coron, A. J. Wiles, M. Talagrand.
The Fermat Prize for Mathematics Research 1999 was awarded jointly to
F. Bethuel and F. Hélein for several important contributions to the theory
of variational calculus, which have consequences in Physics and Geometry.
The Fermat Prize for Mathematics Research 2001 was awarded jointly to
R. L. Taylor for his various contributions to the study of the links between
Galois representations and automorphic forms and to W. Werner for his
works on the intersection exponents of Brownian motion and their impact
in theoretical Physics (research undertaken to a large extent with G. Lawler
and O. Schramm).
The Annales de la Faculté des Sciences de Toulouse are happy to publish
contributions of these authors and thank them for their cooperation.
The -in-Chief


Editor's note

Wendelin Werner

Girsanov’s transformation for SLE$(\kappa ,\rho )$ processes, intersection exponents and hiding exponents

Intertwined mappings

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