Edit Profile (opens in new tab) Ecalle, Jean P. Compute Distance To: Compute Author ID: ecalle.jean-p Published as: Ecalle, Jean; Écalle, Jean; Ecalle, J.; Ecalle, Jean P.; Écalle, J. more...less 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 137 Co-Co-Authors all top 5 Co-Authors 40 single-authored 4 Vallet, Bruno 1 Bouillot, Olivier 1 Buff, Xavier 1 Epstein, Adam Lawrence 1 Martinet, Jean 1 Menous, Frédéric 1 Moussu, Robert 1 Ramis, Jean-Pierre 1 Schlomiuk, Dana I. 1 Sharma, Shweta all top 5 Serials 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Annales de l’Institut Fourier 1 Journal d’Analyse Mathématique 1 Acta Mathematica Vietnamica 1 Mathematische Zeitschrift 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Vestnik Leningrad University. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal de Théorie des Nombres de Bordeaux 1 Publications Mathématiques d’Orsay 1 Matematicheskie Zametki SVFU all top 5 Fields 24 Functions of a complex variable (30-XX) 16 Ordinary differential equations (34-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Number theory (11-XX) 7 Difference and functional equations (39-XX) 7 Sequences, series, summability (40-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 613 times in 409 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 1241.34003Écalle, Jean 139 1992 Les algèbres de fonctions resurgentes. Zbl 0499.30034Ecalle, Jean 106 1981 Les fonctions resurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029Ecalle, Jean 69 1985 Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013Ecalle, Jean 33 1992 Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010Ecalle, Jean 29 1975 Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. Zbl 0814.32008Écalle, Jean 27 1993 ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) Zbl 1094.11032Ecalle, Jean 25 2003 Les fonctions resurgentes appliquees à l’itération. Zbl 0499.30035Ecalle, Jean 24 1981 The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles (with computational assistance from S. Carr). Zbl 1253.11083Ecalle, Jean 16 2011 Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). Zbl 0615.58011Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre 14 1987 Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014Ecalle, Jean; Vallet, Bruno 14 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 0729.34016Ecalle, J. 13 1990 Weighted products and parametric resurgence. Zbl 0834.34067Ecalle, Jean 10 1994 The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. Zbl 1078.37016Ecalle, Jean; Vallet, Bruno 10 2004 The acceleration operators and their applications to differential equations, quasianalytic functions, and the constructive proof of Dulac’s conjecture. Zbl 0741.30030Ecalle, Jean P. 9 1991 Well-behaved convolution averages and the non-accumulation theorem for limit-cycles. Zbl 0857.34009Ecalle, Jean; Menous, Frédéric 9 1996 Limits of degenerate parabolic quadratic rational maps. Zbl 1364.37105Buff, Xavier; Écalle, Jean; Epstein, Adam 8 2013 Cohesive functions and weak accelerations. Zbl 0808.30002Ecalle, Jean 7 1993 A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069Ecalle, Jean 6 2002 Twisted resurgence monomials and canonical-spherical synthesis of local objects. Zbl 1077.32001Ecalle, Jean 5 2005 Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. Zbl 1417.37170Bouillot, Olivier; Ecalle, Jean 5 2017 Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Zbl 1161.11380Ecalle, Jean 5 2004 Nature du groupe des ordres d’itération complexes d’une transformation holomorphe au voisinage d’un point fixe de multiplicateur 1. Zbl 0252.30009Ecalle, Jean 5 1973 Compensation of small denominators and ramified linearisation of local objects. Zbl 0810.58036Ecalle, Jean 4 1994 The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms. Zbl 0816.30005Écalle, J.; Schlomiuk, D. 3 1993 Eupolars and their bialternality grid. Zbl 1384.11089Ecalle, 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 0665.58036Écalle, Jean 2 1987 Intertwined mappings. Zbl 1091.37008Ecalle, Jean; Vallet, Bruno 2 2004 Quelques résultats nouveaux en théorie de la C-itération. Zbl 0204.08901Écalle, Jean 2 1971 Invariants holomorphes simples des transformations de multiplicateur 1. Zbl 0252.30010Ecalle, Jean 2 1973 Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004Ecalle, Jean 1 1978 Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007Ecalle, Jean 1 1985 Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. Zbl 0857.34010Ecalle, Jean; Vallet, Bruno 1 1996 An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019Ecalle, Jean 1 1979 Invariants géométriques d’un système de plusieurs transformations holomorphes et application à la caractérisation de divers types de conjugaison. Zbl 0206.35803Écalle, Jean 1 1971 Calcul effectif des invariants holomorphes des transformations de multiplicateur 1. Fonctions entières d’une infinite de variables complexes. Zbl 0252.30011Ecalle, Jean 1 1973 The scrambling operators applied to multizeta algebra and singular perturbation analysis. Zbl 1439.11221Ecalle, Jean 1 2020 The scrambling operators applied to multizeta algebra and singular perturbation analysis. Zbl 1439.11221Ecalle, Jean 1 2020 Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. Zbl 1417.37170Bouillot, Olivier; Ecalle, Jean 5 2017 Eupolars and their bialternality grid. Zbl 1384.11089Ecalle, Jean 3 2015 Limits of degenerate parabolic quadratic rational maps. Zbl 1364.37105Buff, 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 1253.11083Ecalle, Jean 16 2011 Twisted resurgence monomials and canonical-spherical synthesis of local objects. Zbl 1077.32001Ecalle, Jean 5 2005 The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. Zbl 1078.37016Ecalle, Jean; Vallet, Bruno 10 2004 Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Zbl 1161.11380Ecalle, Jean 5 2004 Intertwined mappings. Zbl 1091.37008Ecalle, 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 1094.11032Ecalle, Jean 25 2003 A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. Zbl 1065.11069Ecalle, Jean 6 2002 Correction and linearization of resonant vector fields and diffeomorphisms. Zbl 0921.32014Ecalle, Jean; Vallet, Bruno 14 1998 Well-behaved convolution averages and the non-accumulation theorem for limit-cycles. Zbl 0857.34009Ecalle, Jean; Menous, Frédéric 9 1996 Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. Zbl 0857.34010Ecalle, Jean; Vallet, Bruno 1 1996 Weighted products and parametric resurgence. Zbl 0834.34067Ecalle, Jean 10 1994 Compensation of small denominators and ramified linearisation of local objects. Zbl 0810.58036Ecalle, Jean 4 1994 Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. Zbl 0814.32008Écalle, Jean 27 1993 Cohesive functions and weak accelerations. Zbl 0808.30002Ecalle, Jean 7 1993 The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms. Zbl 0816.30005Écalle, 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 1241.34003Écalle, Jean 139 1992 Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) Zbl 0940.32013Ecalle, Jean 33 1992 The acceleration operators and their applications to differential equations, quasianalytic functions, and the constructive proof of Dulac’s conjecture. Zbl 0741.30030Ecalle, 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 0729.34016Ecalle, J. 13 1990 Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). Zbl 0615.58011Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre 14 1987 Classification analytique des champs hamiltoniens locaux. Invariants holomorphes et hamiltoniens étrangers. (Analytical classification of local Hamiltonian fields. Holomorphic invariants and strange Hamiltonians). Zbl 0665.58036Écalle, Jean 2 1987 Les fonctions resurgentes. III: L’équation du pont et la classification analytique des objets locaux. Zbl 0602.30029Ecalle, Jean 69 1985 Iteration and analytic classification of local diffeomorphisms of \({\mathbb{C}}^{\nu}\). Zbl 0602.58007Ecalle, Jean 1 1985 Les algèbres de fonctions resurgentes. Zbl 0499.30034Ecalle, Jean 106 1981 Les fonctions resurgentes appliquees à l’itération. Zbl 0499.30035Ecalle, Jean 24 1981 An explicit form of writing the Campbell-Hausdorff formula and some of its applications. Zbl 0421.30019Ecalle, Jean 1 1979 Les fonctions resurgentes et leurs applications à l’analyse harmonique sur certains groupes. Zbl 0448.43004Ecalle, Jean 1 1978 Théorie itérative: Introduction à la théorie des invariants holomorphes. Zbl 0285.26010Ecalle, Jean 29 1975 Nature du groupe des ordres d’itération complexes d’une transformation holomorphe au voisinage d’un point fixe de multiplicateur 1. Zbl 0252.30009Ecalle, Jean 5 1973 Invariants holomorphes simples des transformations de multiplicateur 1. Zbl 0252.30010Ecalle, Jean 2 1973 Calcul effectif des invariants holomorphes des transformations de multiplicateur 1. Fonctions entières d’une infinite de variables complexes. Zbl 0252.30011Ecalle, Jean 1 1973 Quelques résultats nouveaux en théorie de la C-itération. Zbl 0204.08901Écalle, Jean 2 1971 Invariants géométriques d’un système de plusieurs transformations holomorphes et application à la caractérisation de divers types de conjugaison. Zbl 0206.35803Écalle, Jean 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 423 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 Resman, Maja 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 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 Rolin, Jean-Philippe 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 Loray, Frank 2 Mantova, Vincenzo 2 Minh, Hoang Ngoc 2 Mukherjee, Sabyasachi 2 Nitta, Muneto 2 Novikov, Dmitry 2 Pauls, Walter ...and 323 more Authors all top 5 Cited in 143 Serials 33 Annales de l’Institut Fourier 29 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 Publications Mathématiques 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 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 167 Ordinary differential equations (34-XX) 130 Dynamical systems and ergodic theory (37-XX) 61 Several complex variables and analytic spaces (32-XX) 60 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) 18 Field theory and polynomials (12-XX) 18 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 Functional analysis (46-XX) 6 Manifolds and cell complexes (57-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 5 Relativity and gravitational theory (83-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 Group theory and generalizations (20-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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