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Author ID: ecalle.jean-p Recent zbMATH articles by "Ecalle, Jean P."
Published as: Ecalle, Jean; Écalle, Jean; Ecalle, J.; Ecalle, Jean P.; Écalle, J.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 51 Publications since 1971, including 1 Book
Biographic References: 1 Publication
Co-Authors: 10 Co-Authors with 10 Joint Publications
135 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 592 times in 407 Documents Cited by Year
Introduction to analyzable functions and constructive proof of the Dulac conjecture. (Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac.) Zbl 1241.34003
Écalle, Jean
138
1992
Les algèbres de fonctions resurgentes. Zbl 0499.30034
Ecalle, Jean
95
1981
Les fonctions resurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029
Ecalle, Jean
69
1985
Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013
Ecalle, Jean
33
1992
Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010
Ecalle, Jean
28
1975
Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. Zbl 0814.32008
Écalle, Jean
27
1993
Les fonctions resurgentes appliquees à l’itération. Zbl 0499.30035
Ecalle, Jean
23
1981
ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) Zbl 1094.11032
Ecalle, Jean
23
2003
The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles (with computational assistance from S. Carr). Zbl 1253.11083
Ecalle, Jean
15
2011
Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014
Ecalle, Jean; Vallet, Bruno
13
1998
Finitude des cycles-limites et accelero-sommation de l’application de retour. (Finitude of limit cycles and accelerated summation of the return mapping). Zbl 0729.34016
Ecalle, J.
13
1990
Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). Zbl 0615.58011
Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre
11
1987
Weighted products and parametric resurgence. Zbl 0834.34067
Ecalle, Jean
10
1994
The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. Zbl 1078.37016
Ecalle, Jean; Vallet, Bruno
10
2004
Well-behaved convolution averages and the non-accumulation theorem for limit-cycles. Zbl 0857.34009
Ecalle, Jean; Menous, Frédéric
9
1996
The acceleration operators and their applications to differential equations, quasianalytic functions, and the constructive proof of Dulac’s conjecture. Zbl 0741.30030
Ecalle, Jean P.
9
1991
Limits of degenerate parabolic quadratic rational maps. Zbl 1364.37105
Buff, Xavier; Écalle, Jean; Epstein, Adam
8
2013
Cohesive functions and weak accelerations. Zbl 0808.30002
Ecalle, Jean
7
1993
A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069
Ecalle, Jean
6
2002
Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. Zbl 1417.37170
Bouillot, Olivier; Ecalle, Jean
5
2017
Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Zbl 1161.11380
Ecalle, Jean
5
2004
Twisted resurgence monomials and canonical-spherical synthesis of local objects. Zbl 1077.32001
Ecalle, Jean
5
2005
Nature du groupe des ordres d’itération complexes d’une transformation holomorphe au voisinage d’un point fixe de multiplicateur 1. Zbl 0252.30009
Ecalle, Jean
5
1973
Compensation of small denominators and ramified linearisation of local objects. Zbl 0810.58036
Ecalle, Jean
4
1994
The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms. Zbl 0816.30005
Écalle, J.; Schlomiuk, D.
3
1993
Eupolars and their bialternality grid. Zbl 1384.11089
Ecalle, Jean
3
2015
Invariants holomorphes simples des transformations de multiplicateur 1. Zbl 0252.30010
Ecalle, Jean
2
1973
Classification analytique des champs hamiltoniens locaux. Invariants holomorphes et hamiltoniens étrangers. (Analytical classification of local Hamiltonian fields. Holomorphic invariants and strange Hamiltonians). Zbl 0665.58036
Écalle, Jean
2
1987
Quelques résultats nouveaux en théorie de la C-itération. Zbl 0204.08901
Écalle, Jean
2
1971
Intertwined mappings. Zbl 1091.37008
Ecalle, Jean; Vallet, Bruno
2
2004
The scrambling operators applied to multizeta algebra and singular perturbation analysis. Zbl 1439.11221
Ecalle, Jean
1
2020
Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. Zbl 0857.34010
Ecalle, Jean; Vallet, Bruno
1
1996
Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007
Ecalle, Jean
1
1985
Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004
Ecalle, Jean
1
1978
Calcul effectif des invariants holomorphes des transformations de multiplicateur 1. Fonctions entières d’une infinite de variables complexes. Zbl 0252.30011
Ecalle, Jean
1
1973
Invariants géométriques d’un système de plusieurs transformations holomorphes et application à la caractérisation de divers types de conjugaison. Zbl 0206.35803
Écalle, Jean
1
1971
An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019
Ecalle, Jean
1
1979
The scrambling operators applied to multizeta algebra and singular perturbation analysis. Zbl 1439.11221
Ecalle, Jean
1
2020
Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. Zbl 1417.37170
Bouillot, Olivier; Ecalle, Jean
5
2017
Eupolars and their bialternality grid. Zbl 1384.11089
Ecalle, Jean
3
2015
Limits of degenerate parabolic quadratic rational maps. Zbl 1364.37105
Buff, Xavier; Écalle, Jean; Epstein, Adam
8
2013
The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles (with computational assistance from S. Carr). Zbl 1253.11083
Ecalle, Jean
15
2011
Twisted resurgence monomials and canonical-spherical synthesis of local objects. Zbl 1077.32001
Ecalle, Jean
5
2005
The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. Zbl 1078.37016
Ecalle, Jean; Vallet, Bruno
10
2004
Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Zbl 1161.11380
Ecalle, Jean
5
2004
Intertwined mappings. Zbl 1091.37008
Ecalle, Jean; Vallet, Bruno
2
2004
ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) Zbl 1094.11032
Ecalle, Jean
23
2003
A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069
Ecalle, Jean
6
2002
Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014
Ecalle, Jean; Vallet, Bruno
13
1998
Well-behaved convolution averages and the non-accumulation theorem for limit-cycles. Zbl 0857.34009
Ecalle, Jean; Menous, Frédéric
9
1996
Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. Zbl 0857.34010
Ecalle, Jean; Vallet, Bruno
1
1996
Weighted products and parametric resurgence. Zbl 0834.34067
Ecalle, Jean
10
1994
Compensation of small denominators and ramified linearisation of local objects. Zbl 0810.58036
Ecalle, Jean
4
1994
Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. Zbl 0814.32008
Écalle, Jean
27
1993
Cohesive functions and weak accelerations. Zbl 0808.30002
Ecalle, Jean
7
1993
The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms. Zbl 0816.30005
Écalle, J.; Schlomiuk, D.
3
1993
Introduction to analyzable functions and constructive proof of the Dulac conjecture. (Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac.) Zbl 1241.34003
Écalle, Jean
138
1992
Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013
Ecalle, Jean
33
1992
The acceleration operators and their applications to differential equations, quasianalytic functions, and the constructive proof of Dulac’s conjecture. Zbl 0741.30030
Ecalle, Jean P.
9
1991
Finitude des cycles-limites et accelero-sommation de l’application de retour. (Finitude of limit cycles and accelerated summation of the return mapping). Zbl 0729.34016
Ecalle, J.
13
1990
Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). Zbl 0615.58011
Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre
11
1987
Classification analytique des champs hamiltoniens locaux. Invariants holomorphes et hamiltoniens étrangers. (Analytical classification of local Hamiltonian fields. Holomorphic invariants and strange Hamiltonians). Zbl 0665.58036
Écalle, Jean
2
1987
Les fonctions resurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029
Ecalle, Jean
69
1985
Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007
Ecalle, Jean
1
1985
Les algèbres de fonctions resurgentes. Zbl 0499.30034
Ecalle, Jean
95
1981
Les fonctions resurgentes appliquees à l’itération. Zbl 0499.30035
Ecalle, Jean
23
1981
An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019
Ecalle, Jean
1
1979
Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004
Ecalle, Jean
1
1978
Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010
Ecalle, Jean
28
1975
Nature du groupe des ordres d’itération complexes d’une transformation holomorphe au voisinage d’un point fixe de multiplicateur 1. Zbl 0252.30009
Ecalle, Jean
5
1973
Invariants holomorphes simples des transformations de multiplicateur 1. Zbl 0252.30010
Ecalle, Jean
2
1973
Calcul effectif des invariants holomorphes des transformations de multiplicateur 1. Fonctions entières d’une infinite de variables complexes. Zbl 0252.30011
Ecalle, Jean
1
1973
Quelques résultats nouveaux en théorie de la C-itération. Zbl 0204.08901
Écalle, Jean
2
1971
Invariants géométriques d’un système de plusieurs transformations holomorphes et application à la caractérisation de divers types de conjugaison. Zbl 0206.35803
Écalle, Jean
1
1971
all top 5

Cited by 421 Authors

19 Llibre, Jaume
13 Ecalle, Jean P.
11 Giné, Jaume
11 Menous, Frédéric
10 Ribón, Javier
9 Costin, Ovidiu
8 Sauzin, David
8 van der Hoeven, Joris
7 Manchon, Dominique
7 Yu, Pei
6 Braaksma, Boele L. J.
6 García, Isaac A.
6 Han, Maoan
6 Moussu, Robert
6 Ünsal, Mithat
6 Valls Anglés, Cláudia
5 Abate, Marco
5 Bouillot, Olivier
5 Delabaere, Eric
5 Dorigoni, Daniele
5 Dunne, Gerald V.
5 Fauvet, Frédéric
5 Mardešić, Pavao
5 Novelli, Jean-Christophe
5 Remy, Pascal
5 Rousseau, Christiane
4 Algaba, Antonio
4 Clavier, Pierre J.
4 Ebrahimi-Fard, Kurusch
4 García, Cristóbal
4 Ilyashenko, Yulij Sergeevich
4 Malek, Stéphane
4 Misumi, Tatsuhiro
4 Pham, Frédéric
4 Ramis, Jean-Pierre
4 Resman, Maja
4 Schäfke, Reinhard
4 Schneps, Leila
4 Thibon, Jean-Yves
4 Tucker, Warwick
3 Aschenbrenner, Matthias
3 Bachmann, Henrik
3 Bellon, Marc P.
3 Borinsky, Michael
3 Bracci, Filippo
3 Canalis-Durand, Mireille
3 Cresson, Jacky
3 Enjalbert, Jean-Yves
3 Johnson, Tomas
3 Kuhlmann, Salma
3 Maiezza, Alessio
3 Martinet, Jean
3 Matusinski, Mickaël
3 Mourtada, Abderaouf
3 Patras, Frédéric
3 Paul, Thierry
3 Raissy, Jasmin
3 Rasoamanana, Jean-Marc
3 Shaĭkhullina, Polina Alekseevna
3 Stolovitch, Laurent
3 van den Dries, Lou
3 Vasquez, Juan Carlos
3 Yang, Jiazhong
3 Zhang, Xiang
2 Ahern, Patrick B.
2 Astorg, Matthieu
2 Baker, Irvine Noel
2 Baldomá, Inmaculada
2 Balser, Werner
2 Bersini, Jahmall
2 Buff, Xavier
2 Casale, Guy
2 Cerveau, Dominique
2 Cherman, Aleksey
2 Epstein, Adam Lawrence
2 Even, Christian
2 Fontich, Ernest
2 Frisch, Uriel
2 Garay, Mauricio D.
2 Garoufalidis, Stavros
2 Gelfreich, Vassili
2 Grau, Maite
2 Hatsuda, Yasuyuki
2 Hoang Ngoc Minh, Vincel
2 Jiang, Jiao
2 Kamata, Syo
2 Kamimoto, Shingo
2 Kossovskiy, Il’ya Grigor’evich
2 Krikorian, Raphaël
2 Lamel, Bernhard
2 Li, Weigu
2 Loday-Richaud, Michèle
2 Mantova, Vincenzo
2 Minh, Hoang Ngoc
2 Mukherjee, Sabyasachi
2 Nitta, Muneto
2 Novikov, Dmitry
2 Pauls, Walter
2 Peters, Han
2 Rebelo, Julio C.
...and 321 more Authors
all top 5

Cited in 143 Serials

33 Annales de l’Institut Fourier
28 Journal of Differential Equations
26 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
16 Journal of High Energy Physics
11 Journal of Mathematical Analysis and Applications
10 Journal of Symbolic Computation
9 Advances in Mathematics
9 Transactions of the American Mathematical Society
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Duke Mathematical Journal
7 Journal of Dynamical and Control Systems
6 Letters in Mathematical Physics
6 Journal of Algebra
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Number Theory
5 Annals of Physics
5 Qualitative Theory of Dynamical Systems
4 Journal of Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Journal de Théorie des Nombres de Bordeaux
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Communications in Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin de la Société Mathématique de France
3 Compositio Mathematica
3 Journal of Pure and Applied Algebra
3 Aequationes Mathematicae
3 Bulletin of the American Mathematical Society. New Series
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Statistical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nuclear Physics. B
2 Russian Mathematical Surveys
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Acta Mathematica Vietnamica
2 Applied Mathematics and Computation
2 Functional Analysis and its Applications
2 Publications Mathématiques
2 Mathematische Zeitschrift
2 Advances in Applied Mathematics
2 Ergodic Theory and Dynamical Systems
2 Annals of Pure and Applied Logic
2 Physica D
2 Applied Mathematics Letters
2 Numerical Algorithms
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Bulletin des Sciences Mathématiques
2 Journal of Difference Equations and Applications
2 Doklady Mathematics
2 The Ramanujan Journal
2 Acta Mathematica Sinica. English Series
2 Annales Henri Poincaré
2 Nonlinear Analysis. Real World Applications
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Analysis and Mathematical Physics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Nonlinearity
1 Physics Letters. B
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Archiv der Mathematik
1 BIT
1 Canadian Journal of Mathematics
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Order
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
...and 43 more Serials
all top 5

Cited in 47 Fields

165 Ordinary differential equations (34-XX)
130 Dynamical systems and ergodic theory (37-XX)
60 Several complex variables and analytic spaces (32-XX)
59 Quantum theory (81-XX)
38 Number theory (11-XX)
35 Functions of a complex variable (30-XX)
30 Partial differential equations (35-XX)
29 Sequences, series, summability (40-XX)
27 Associative rings and algebras (16-XX)
20 Combinatorics (05-XX)
19 Nonassociative rings and algebras (17-XX)
17 Field theory and polynomials (12-XX)
17 Difference and functional equations (39-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Algebraic geometry (14-XX)
14 Computer science (68-XX)
12 Mathematical logic and foundations (03-XX)
12 Numerical analysis (65-XX)
11 Topological groups, Lie groups (22-XX)
10 Special functions (33-XX)
8 Commutative algebra (13-XX)
8 Approximations and expansions (41-XX)
6 Integral transforms, operational calculus (44-XX)
6 Manifolds and cell complexes (57-XX)
5 Functional analysis (46-XX)
5 Relativity and gravitational theory (83-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
4 Operator theory (47-XX)
4 Differential geometry (53-XX)
4 Probability theory and stochastic processes (60-XX)
4 Mechanics of particles and systems (70-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Category theory; homological algebra (18-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 History and biography (01-XX)
2 Potential theory (31-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
2 Fluid mechanics (76-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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