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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: 52 Publications since 1971, including 1 Book and 1 Additional arXiv Preprint
Biographic References: 1 Publication
Co-Authors: 10 Co-Authors with 11 Joint Publications
153 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 729 times in 485 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
150
1992
Les algèbres de fonctions résurgentes. Zbl 0499.30034
Ecalle, Jean
149
1981
Les fonctions résurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029
Écalle, Jean
83
1985
Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013
Ecalle, Jean
36
1992
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
33
2003
Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010
Ecalle, Jean
33
1975
Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. Zbl 0814.32008
Écalle, Jean
31
1993
Les fonctions résurgentes appliquées à l’itération. Zbl 0499.30035
Ecalle, Jean
30
1981
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
19
2011
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.
16
1990
Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014
Ecalle, Jean; Vallet, Bruno
15
1998
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
15
1987
Weighted products and parametric resurgence. Zbl 0834.34067
Ecalle, Jean
12
1994
The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. Zbl 1078.37016
Ecalle, Jean; Vallet, Bruno
10
2004
Limits of degenerate parabolic quadratic rational maps. Zbl 1364.37105
Buff, Xavier; Écalle, Jean; Epstein, Adam
10
2013
Well-behaved convolution averages and the non-accumulation theorem for limit-cycles. Zbl 0857.34009
Ecalle, Jean; Menous, Frédéric
9
1996
A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069
Ecalle, Jean
9
2002
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
Cohesive functions and weak accelerations. Zbl 0808.30002
Ecalle, Jean
7
1993
Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Zbl 1161.11380
Ecalle, Jean
6
2004
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
6
1973
Twisted resurgence monomials and canonical-spherical synthesis of local objects. Zbl 1077.32001
Ecalle, Jean
5
2005
Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. Zbl 1417.37170
Bouillot, Olivier; Ecalle, Jean
5
2017
Compensation of small denominators and ramified linearisation of local objects. Zbl 0810.58036
Ecalle, Jean
4
1994
Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007
Ecalle, Jean
4
1985
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
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
Invariants holomorphes simples des transformations de multiplicateur 1. Zbl 0252.30010
Ecalle, Jean
2
1973
Intertwined mappings. Zbl 1091.37008
Ecalle, Jean; Vallet, Bruno
2
2004
Un analogue des fonctions automorphes: Les fonctions resurgentes. Zbl 0407.30015
Ecalle, Jean
2
1978
Quelques résultats nouveaux en théorie de la C-itération. Zbl 0204.08901
Écalle, Jean
2
1971
Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. Zbl 0857.34010
Ecalle, Jean; Vallet, Bruno
1
1996
The scrambling operators applied to multizeta algebra and singular perturbation analysis. Zbl 1439.11221
Ecalle, Jean
1
2020
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
Sommations de séries divergentes en théorie de l’itération des applications holomorphes. Zbl 0326.30002
Ecalle, Jean
1
1976
Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004
Ecalle, Jean
1
1978
An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019
Ecalle, Jean
1
1979
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
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
10
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
19
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
6
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
33
2003
A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069
Ecalle, Jean
9
2002
Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014
Ecalle, Jean; Vallet, Bruno
15
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
12
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
31
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
150
1992
Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013
Ecalle, Jean
36
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.
16
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
15
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 résurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029
Écalle, Jean
83
1985
Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007
Ecalle, Jean
4
1985
Les algèbres de fonctions résurgentes. Zbl 0499.30034
Ecalle, Jean
149
1981
Les fonctions résurgentes appliquées à l’itération. Zbl 0499.30035
Ecalle, Jean
30
1981
An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019
Ecalle, Jean
1
1979
Un analogue des fonctions automorphes: Les fonctions resurgentes. Zbl 0407.30015
Ecalle, Jean
2
1978
Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004
Ecalle, Jean
1
1978
Sommations de séries divergentes en théorie de l’itération des applications holomorphes. Zbl 0326.30002
Ecalle, Jean
1
1976
Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010
Ecalle, Jean
33
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
6
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 505 Authors

19 Llibre, Jaume
13 Ecalle, Jean P.
13 Ribón, Javier
12 Giné, Jaume
12 Menous, Frédéric
12 Sauzin, David
11 Costin, Ovidiu
9 van der Hoeven, Joris
8 Yu, Pei
7 Dunne, Gerald V.
7 García, Isaac A.
7 Manchon, Dominique
7 Ünsal, Mithat
6 Braaksma, Boele Lieuwe Jan
6 Fauvet, Frédéric
6 Han, Maoan
6 Moussu, Robert
6 Valls Anglés, Cláudia
5 Abate, Marco
5 Bouillot, Olivier
5 Delabaere, Eric
5 Dorigoni, Daniele
5 Malek, Stéphane
5 Mardešić, Pavao
5 Novelli, Jean-Christophe
5 Remy, Pascal
5 Resman, Maja
5 Rousseau, Christiane
5 Sanz Sánchez, Fernando
5 Schneps, Leila
4 Algaba, Antonio
4 Bachmann, Henrik
4 Borinsky, Michael
4 Clavier, Pierre J.
4 Cresson, Jacky
4 Ebrahimi-Fard, Kurusch
4 García, Cristóbal
4 Il’yashenko, Yuliĭ Sergeevich
4 López-Hernanz, Lorena
4 Maiezza, Alessio
4 Misumi, Tatsuhiro
4 Pham, Frédéric
4 Raissy, Jasmin
4 Ramis, Jean-Pierre
4 Santamaría, Ricardo Couso
4 Schäfke, Reinhard
4 Thibon, Jean-Yves
4 Tucker, Warwick
4 Vasquez, Juan Carlos
4 Vonk, Marcel
3 Aschenbrenner, Matthias
3 Bellon, Marc P.
3 Bracci, Filippo
3 Canalis-Durand, Mireille
3 Enjalbert, Jean-Yves
3 Garoufalidis, Stavros
3 Johnson, Tomas
3 Kamimoto, Shingo
3 Kuhlmann, Salma
3 Li, Yong
3 Martinet, Jean
3 Matusinski, Mickaël
3 Mourtada, Abderaouf
3 Nitta, Muneto
3 Patras, Frédéric
3 Paul, Thierry
3 Peran, Dino
3 Rasoamanana, Jean-Marc
3 Rebelo, Julio C.
3 Rolin, Jean-Philippe
3 M-Seara, Tere
3 Shaĭkhullina, Polina Alekseevna
3 Stolovitch, Laurent
3 Sun, Shanzhong
3 Tian, Yun
3 van den Dries, Lou
3 Voros, André
3 Yang, Jiazhong
3 Zhang, Xiang
2 Ahern, Patrick B.
2 Andersen, Jørgen Ellegaard
2 Aniceto, Inês
2 Aoki, Takashi
2 Astorg, Matthieu
2 Baker, Irvine Noel
2 Baldomá, Inmaculada
2 Balser, Werner
2 Baumard, Samuel
2 Bersini, Jahmall
2 Brown, Francis C. S.
2 Buff, Xavier
2 Burmester, Annika
2 Casale, Guy
2 Cerveau, Dominique
2 Cherman, Aleksey
2 Costin, Rodica D.
2 Dumortier, Freddy
2 Edelstein, José D.
2 Epstein, Adam Lawrence
2 Even, Christian
...and 405 more Authors
all top 5

Cited in 161 Serials

34 Annales de l’Institut Fourier
31 Journal of Differential Equations
27 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
25 Journal of High Energy Physics
12 Journal of Mathematical Analysis and Applications
11 Advances in Mathematics
10 Transactions of the American Mathematical Society
10 Journal of Symbolic Computation
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Journal of Dynamical and Control Systems
7 Letters in Mathematical Physics
7 Duke Mathematical Journal
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications in Mathematical Physics
6 Bulletin de la Société Mathématique de France
6 Journal of Algebra
6 Journal of Number Theory
6 Qualitative Theory of Dynamical Systems
5 The Journal of Geometric Analysis
5 Annals of Physics
4 Journal of Mathematical Physics
4 Compositio Mathematica
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 Journal de Théorie des Nombres de Bordeaux
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Functional Analysis and its Applications
3 Publications Mathématiques
3 Journal of Pure and Applied Algebra
3 Physica D
3 Applied Mathematics Letters
3 Aequationes Mathematicae
3 Bulletin of the American Mathematical Society. New Series
3 Bulletin des Sciences Mathématiques
3 Annales Henri Poincaré
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Physics A: Mathematical and Theoretical
3 Analysis and Mathematical Physics
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 Physics Letters. B
2 Russian Mathematical Surveys
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 The Mathematical Intelligencer
2 Acta Mathematica Vietnamica
2 Applied Mathematics and Computation
2 Journal of Combinatorial Theory. Series A
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Advances in Applied Mathematics
2 Annals of Pure and Applied Logic
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Numerical Algorithms
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Journal of Difference Equations and Applications
2 Doklady Mathematics
2 The Ramanujan Journal
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Nonlinear Analysis. Real World Applications
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Annales Mathématiques du Québec
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 Computer Physics Communications
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Mathematical Notes
1 Nonlinearity
1 Physics Letters. A
1 Mathematics of Computation
1 Journal of Geometry and Physics
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 Funkcialaj Ekvacioj. Serio Internacia
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
...and 61 more Serials
all top 5

Cited in 47 Fields

186 Ordinary differential equations (34-XX)
149 Dynamical systems and ergodic theory (37-XX)
81 Quantum theory (81-XX)
71 Several complex variables and analytic spaces (32-XX)
53 Number theory (11-XX)
42 Functions of a complex variable (30-XX)
34 Associative rings and algebras (16-XX)
33 Partial differential equations (35-XX)
31 Sequences, series, summability (40-XX)
24 Combinatorics (05-XX)
22 Nonassociative rings and algebras (17-XX)
21 Algebraic geometry (14-XX)
18 Field theory and polynomials (12-XX)
18 Difference and functional equations (39-XX)
17 Global analysis, analysis on manifolds (58-XX)
15 Computer science (68-XX)
14 Numerical analysis (65-XX)
13 Mathematical logic and foundations (03-XX)
13 Special functions (33-XX)
12 Approximations and expansions (41-XX)
12 Relativity and gravitational theory (83-XX)
11 Topological groups, Lie groups (22-XX)
9 Commutative algebra (13-XX)
8 Manifolds and cell complexes (57-XX)
7 Integral transforms, operational calculus (44-XX)
6 Differential geometry (53-XX)
6 Probability theory and stochastic processes (60-XX)
6 Mechanics of particles and systems (70-XX)
5 Real functions (26-XX)
5 Functional analysis (46-XX)
5 Operator theory (47-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Group theory and generalizations (20-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 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-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)

Citations by Year

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