Edit Profile (opens in new tab) Berteloot, François Co-Author Distance Author ID: berteloot.francois Published as: Berteloot, François; Berteloot, F.; Berteloot, Francois more...less External Links: MGP Documents Indexed: 48 Publications since 1987, including 3 Books and 4 Additional arXiv Preprints 1 Further Contribution Co-Authors: 16 Co-Authors with 29 Joint Publications 204 Co-Co-Authors all top 5 Co-Authors 18 single-authored 5 Dupont, Christophe 4 Bianchi, Fabrizio 4 Loeb, Jean-Jacques 3 Bassanelli, Giovanni 2 Duval, Julien 2 Ninh Văn Thu 2 Patrizio, Giorgio 1 Błocki, Zbigniew 1 Bracci, Filippo 1 Brévard, Maxence 1 Cheraghi, Davoud 1 Cœuré, Gérard 1 Demailly, Jean-Pierre 1 Fornæss, John Erik 1 Gauthier, Thomas 1 Mayer, Volker 1 Molino, Laura 1 Oeljeklaus, Karl 1 Sukhov, Alexandre B. 1 Tien Cuong Dinh all top 5 Serials 2 Annales de l’Institut Fourier 2 Mathematische Annalen 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal d’Analyse Mathématique 1 Studia Mathematica 1 Arkiv för Matematik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Fundamenta Mathematicae 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Ergodic Theory and Dynamical Systems 1 International Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Discrete and Continuous Dynamical Systems 1 Lecture Notes in Mathematics 1 Cours Spécialisés (Paris) 1 Kyoto Journal of Mathematics 1 Rivista di Matematica della Università di Parma. New Series 1 Références Sciences all top 5 Fields 40 Several complex variables and analytic spaces (32-XX) 25 Dynamical systems and ergodic theory (37-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 405 times in 213 Documents Cited by ▼ Year ▼ Bifurcation currents in holomorphic dynamics on \(\mathbb P^k\). Zbl 1136.37025 Bassanelli, Giovanni; Berteloot, François 34 2007 Characterization of models in \(\mathbb{C}^ 2\) by their automorphism groups. Zbl 0817.32010 Berteloot, François 33 1994 A characterization of Lattès endomorphisms by their Green measure. (Une caractérisation des endomorphismes de Lattès par leur mesure de Green.) Zbl 1079.37039 Berteloot, F.; Dupont, C. 27 2005 Normalization of bundle holomorphic contractions and applications to dynamics. Zbl 1151.37038 Berteloot, François; Dupont, Christophe; Molino, Laura 21 2008 Bifurcation currents in holomorphic families of rational maps. Zbl 1280.37039 Berteloot, François 21 2013 Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of \(\mathbb{P}^k\). Zbl 1454.32011 Berteloot, François; Bianchi, Fabrizio; Dupont, Christophe 20 2018 Rescaling methods in complex analysis. (Méthodes de changement d’échelles en analyse complexe.) Zbl 1123.37019 Berteloot, François 19 2006 Domaines de \({\mathbb{C}}^ 2\), pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes. (On domains in \({\mathbb{C}}^ 2\), being pseudoconvex and of finite type, with non-compact automorphism group). Zbl 0711.32016 Berteloot, F.; Cœuré, Gérard 19 1991 Attraction of analytic disks and Hölder continuity of proper holomorphic maps. (Attraction des disques analytiques et continuité höldérienne d’applications holomorphes propres.) Zbl 0831.32012 Berteloot, François 19 1995 A geometrical characterization of Lattès’ examples in \(\mathbb{P}^k\). (Une caractérisation géométrique des exemples de Lattès de \(\mathbb{P}^k\).) Zbl 0994.32026 Berteloot, François; Loeb, Jean-Jacques 17 2001 Lyapunov exponents, bifurcation currents and laminations in bifurcation loci. Zbl 1179.37067 Bassanelli, Giovanni; Berteloot, François 14 2009 Proper holomorphic mappings between bounded complete Reinhardt domains in \(C^ 2\). Zbl 0829.32011 Berteloot, F.; Pinchuk, S. 14 1995 Distribution of polynomials with cycles of a given multiplier. Zbl 1267.37049 Bassanelli, Giovanni; Berteloot, François 13 2011 Rudiments of holomorphic dynamics. (Rudiments de dynamique holomorphe.) Zbl 1051.37019 Berteloot, François; Mayer, Volker 12 2001 Spherical hypersurfaces and Lattès rational maps. Zbl 0913.58031 Berteloot, F.; Loeb, J.-J. 11 1998 On the hyperbolicity of certain complements. (Sur l’hyperbolicité de certains complémentaires.) Zbl 1009.32015 Berteloot, François; Duval, Julien 11 2001 Invariant plurisubharmonic functions and hypersurfaces on semisimple complex Lie groups. Zbl 0653.32029 Berteloot, F.; Oeljeklaus, Karl 10 1988 Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place. (Perturbations d’exemples de Lattès et dimension de Hausdorff du lieu de bifurcation.) Zbl 1417.37171 Berteloot, François; Bianchi, Fabrizio 10 2018 A remark on local continuous extension of proper holomorphic mappings. Zbl 0781.32027 Berteloot, François 10 1992 Bloch principle and estimates of the Kobayashi metric of domains in \(\mathbb{C}^2\). (Principe de Bloch et estimations de la métrique de Kobayashi des domaines de \(\mathbb{C}^2\).) Zbl 1040.32011 Berteloot, F. 9 2003 Holomorphic vector fields and proper holomorphic self-maps of Reinhardt domains. Zbl 1037.32028 Berteloot, François 9 1998 On the continuous extension of holomorphic correspondences. Zbl 0911.32021 Berteloot, F.; Sukhov, A. 7 1997 A Cartan theorem for proper holomorphic mappings of complete circular domains. Zbl 0962.32020 Berteloot, François; Patrizio, Giorgio 6 2000 Lyapunov exponent of a rational map and multipliers of repelling cycles. Zbl 1218.37052 Berteloot, François 5 2010 On the geometry of bifurcation currents for quadratic rational maps. Zbl 1339.37035 Berteloot, François; Gauthier, Thomas 4 2015 A distortion theorem for iterated inverse branches of holomorphic endomorphisms of \(\mathbb P^k\). Zbl 1422.37031 Berteloot, François; Dupont, Christophe 4 2019 Sur certains domaines faiblement pseudoconvexes dont le groupe d’automorphismes analytiques est non compact. (On certain weakly pseudoconvex domains with non-compact group of analytic automorphisms). Zbl 0717.32018 Berteloot, François 4 1990 Stability and bifurcations in projective holomorphic dynamics. Zbl 1407.32008 Berteloot, François; Bianchi, Fabrizio 4 2018 Hölder continuity of proper holomorphic mappings. Zbl 0746.32009 Berteloot, François 4 1991 Existence d’une structure kählérienne sur les variétés homogènes semi-simples. (Existence of a kähler metric on semi-simple homogeneous manifolds). Zbl 0635.32019 Berteloot, François 3 1987 A direct proof of the density of repulsive cycles in Julia sets. (Une démonstration directe de la densité des cycles répulsifs dans l’ensemble de Julia.) Zbl 1073.37522 Berteloot, François; Duval, Julien 3 2000 A localization principle for weakly pseudoconvex domains in \(\mathbb{C}^ 2\) with non-compact holomorphic automorphisms group. (Un principe de localisation pour les domaines faiblement pseudoconvexes de \(\mathbb{C}^ 2\) dont le groupe d’automorphismes holomorphes n’est pas compact.) Zbl 0794.32018 Berteloot, François 2 1993 Holomorphic equivalence between basins of attraction in \(\mathbf C^ 2\). Zbl 0867.32009 Berteloot, F.; Lœb, J. J. 2 1996 Fonctions plurisousharmoniques sur \(SL(2,{\mathbb{C}})\) invariantes par un sous-groupe monogène. (Plurisubharmonic functions on \(SL(2,{\mathbb{C}})\), invariant under a monogenic subgroup). Zbl 0635.32018 Berteloot, F. 1 1987 Pluripotential theory. Lectures of the CIME course, Cetraro, Italy, 2011. Zbl 1266.31001 1 2013 Repulsive cycles bifurcate in chains. (Les cycles répulsifs bifurquent en chaîne.) Zbl 1388.32012 Berteloot, François 1 2018 The Mandelbrot set is the shadow of a Julia set. Zbl 1457.37062 Berteloot, François; Dinh, Tien-Cuong 1 2020 New examples of domains with non-injective proper holomorphic self-maps. Zbl 0885.32024 Berteloot, F.; Loeb, J. J. 1 1997 The Mandelbrot set is the shadow of a Julia set. Zbl 1457.37062 Berteloot, François; Dinh, Tien-Cuong 1 2020 A distortion theorem for iterated inverse branches of holomorphic endomorphisms of \(\mathbb P^k\). Zbl 1422.37031 Berteloot, François; Dupont, Christophe 4 2019 Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of \(\mathbb{P}^k\). Zbl 1454.32011 Berteloot, François; Bianchi, Fabrizio; Dupont, Christophe 20 2018 Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place. (Perturbations d’exemples de Lattès et dimension de Hausdorff du lieu de bifurcation.) Zbl 1417.37171 Berteloot, François; Bianchi, Fabrizio 10 2018 Stability and bifurcations in projective holomorphic dynamics. Zbl 1407.32008 Berteloot, François; Bianchi, Fabrizio 4 2018 Repulsive cycles bifurcate in chains. (Les cycles répulsifs bifurquent en chaîne.) Zbl 1388.32012 Berteloot, François 1 2018 On the geometry of bifurcation currents for quadratic rational maps. Zbl 1339.37035 Berteloot, François; Gauthier, Thomas 4 2015 Bifurcation currents in holomorphic families of rational maps. Zbl 1280.37039 Berteloot, François 21 2013 Pluripotential theory. Lectures of the CIME course, Cetraro, Italy, 2011. Zbl 1266.31001 1 2013 Distribution of polynomials with cycles of a given multiplier. Zbl 1267.37049 Bassanelli, Giovanni; Berteloot, François 13 2011 Lyapunov exponent of a rational map and multipliers of repelling cycles. Zbl 1218.37052 Berteloot, François 5 2010 Lyapunov exponents, bifurcation currents and laminations in bifurcation loci. Zbl 1179.37067 Bassanelli, Giovanni; Berteloot, François 14 2009 Normalization of bundle holomorphic contractions and applications to dynamics. Zbl 1151.37038 Berteloot, François; Dupont, Christophe; Molino, Laura 21 2008 Bifurcation currents in holomorphic dynamics on \(\mathbb P^k\). Zbl 1136.37025 Bassanelli, Giovanni; Berteloot, François 34 2007 Rescaling methods in complex analysis. (Méthodes de changement d’échelles en analyse complexe.) Zbl 1123.37019 Berteloot, François 19 2006 A characterization of Lattès endomorphisms by their Green measure. (Une caractérisation des endomorphismes de Lattès par leur mesure de Green.) Zbl 1079.37039 Berteloot, F.; Dupont, C. 27 2005 Bloch principle and estimates of the Kobayashi metric of domains in \(\mathbb{C}^2\). (Principe de Bloch et estimations de la métrique de Kobayashi des domaines de \(\mathbb{C}^2\).) Zbl 1040.32011 Berteloot, F. 9 2003 A geometrical characterization of Lattès’ examples in \(\mathbb{P}^k\). (Une caractérisation géométrique des exemples de Lattès de \(\mathbb{P}^k\).) Zbl 0994.32026 Berteloot, François; Loeb, Jean-Jacques 17 2001 Rudiments of holomorphic dynamics. (Rudiments de dynamique holomorphe.) Zbl 1051.37019 Berteloot, François; Mayer, Volker 12 2001 On the hyperbolicity of certain complements. (Sur l’hyperbolicité de certains complémentaires.) Zbl 1009.32015 Berteloot, François; Duval, Julien 11 2001 A Cartan theorem for proper holomorphic mappings of complete circular domains. Zbl 0962.32020 Berteloot, François; Patrizio, Giorgio 6 2000 A direct proof of the density of repulsive cycles in Julia sets. (Une démonstration directe de la densité des cycles répulsifs dans l’ensemble de Julia.) Zbl 1073.37522 Berteloot, François; Duval, Julien 3 2000 Spherical hypersurfaces and Lattès rational maps. Zbl 0913.58031 Berteloot, F.; Loeb, J.-J. 11 1998 Holomorphic vector fields and proper holomorphic self-maps of Reinhardt domains. Zbl 1037.32028 Berteloot, François 9 1998 On the continuous extension of holomorphic correspondences. Zbl 0911.32021 Berteloot, F.; Sukhov, A. 7 1997 New examples of domains with non-injective proper holomorphic self-maps. Zbl 0885.32024 Berteloot, F.; Loeb, J. J. 1 1997 Holomorphic equivalence between basins of attraction in \(\mathbf C^ 2\). Zbl 0867.32009 Berteloot, F.; Lœb, J. J. 2 1996 Attraction of analytic disks and Hölder continuity of proper holomorphic maps. (Attraction des disques analytiques et continuité höldérienne d’applications holomorphes propres.) Zbl 0831.32012 Berteloot, François 19 1995 Proper holomorphic mappings between bounded complete Reinhardt domains in \(C^ 2\). Zbl 0829.32011 Berteloot, F.; Pinchuk, S. 14 1995 Characterization of models in \(\mathbb{C}^ 2\) by their automorphism groups. Zbl 0817.32010 Berteloot, François 33 1994 A localization principle for weakly pseudoconvex domains in \(\mathbb{C}^ 2\) with non-compact holomorphic automorphisms group. (Un principe de localisation pour les domaines faiblement pseudoconvexes de \(\mathbb{C}^ 2\) dont le groupe d’automorphismes holomorphes n’est pas compact.) Zbl 0794.32018 Berteloot, François 2 1993 A remark on local continuous extension of proper holomorphic mappings. Zbl 0781.32027 Berteloot, François 10 1992 Domaines de \({\mathbb{C}}^ 2\), pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes. (On domains in \({\mathbb{C}}^ 2\), being pseudoconvex and of finite type, with non-compact automorphism group). Zbl 0711.32016 Berteloot, F.; Cœuré, Gérard 19 1991 Hölder continuity of proper holomorphic mappings. Zbl 0746.32009 Berteloot, François 4 1991 Sur certains domaines faiblement pseudoconvexes dont le groupe d’automorphismes analytiques est non compact. (On certain weakly pseudoconvex domains with non-compact group of analytic automorphisms). Zbl 0717.32018 Berteloot, François 4 1990 Invariant plurisubharmonic functions and hypersurfaces on semisimple complex Lie groups. Zbl 0653.32029 Berteloot, F.; Oeljeklaus, Karl 10 1988 Existence d’une structure kählérienne sur les variétés homogènes semi-simples. (Existence of a kähler metric on semi-simple homogeneous manifolds). Zbl 0635.32019 Berteloot, François 3 1987 Fonctions plurisousharmoniques sur \(SL(2,{\mathbb{C}})\) invariantes par un sous-groupe monogène. (Plurisubharmonic functions on \(SL(2,{\mathbb{C}})\), invariant under a monogenic subgroup). Zbl 0635.32018 Berteloot, F. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 165 Authors 18 Berteloot, François 14 Gauthier, Thomas 11 Bianchi, Fabrizio 11 Ninh Văn Thu 10 Dupont, Christophe 10 Verma, Kaushal 9 Okuyama, Yûsuke 9 Sukhov, Alexandre B. 9 Tien Cuong Dinh 9 Vigny, Gabriel 8 Dujardin, Romain 6 Byun, Jisoo 6 Coupet, Bernard 6 Gilligan, Bruce 6 Oeljeklaus, Karl 5 Gaussier, Hervé 5 Kim, Kang-Tae 4 de Thélin, Henry 4 Favre, Charles 4 Pan, Yifei 4 Rong, Feng 4 Taflin, Johan 3 Astorg, Matthieu 3 Balakumar, G. P. 3 DeMarco, Laura Grace 3 Krantz, Steven George 3 Lyubich, Mikhail 3 Miebach, Christian 3 Nguyen, Thi Lan Huong 3 Patrizio, Giorgio 3 Ruggiero, Matteo 3 Seshadri, Harish 3 Shafikov, Rasul Gazimovich 3 Sibony, Nessim 2 Bassanelli, Giovanni 2 Boutat, Moha 2 Bracci, Filippo 2 Buff, Xavier 2 Chen, Zhihua 2 Cho, Hong Rae 2 Đỗ Đức Thái 2 Duval, Julien 2 Firsova, Tanya 2 Haggui, Fathi 2 Ingram, Patrick 2 Isaev, Alexander 2 Janardhanan, Jaikrishnan 2 Kim, Hyeseon 2 Kosiński, Łukasz 2 Kruzhilin, Nikolai Georgievich 2 Landucci, Mario 2 Mahajan, Prachi 2 Nguyen Quang Dieu 2 Opshtein, Emmanuel 2 Ourimi, Nabil 2 Rogue, Axel 2 Tosatti, Valentino 2 Tsukamoto, Masaki 2 Youssfi, El Hassan 1 Banik, Annapurna 1 Barrett, Matthew 1 Battisti, Laurent 1 Bedford, Eric 1 Bergweiler, Walter 1 Berman, Robert J. 1 Bertrand, Florian 1 Bharali, Gautam 1 Biebler, Sébastien 1 Blanc-Centi, Léa 1 Borah, Diganta 1 Boucksom, Sébastien 1 Brévard, Maxence 1 Calamai, Simone 1 Cantat, Serge 1 Cerveau, Dominique 1 Chio, Ivan 1 Cuccu, Fabrizio 1 Dang, Nguyen-Bac 1 Deroin, Bertrand 1 Déserti, Julie 1 Dethloff, Gerd-Eberhard 1 Dinew, Sławomir 1 Do, Hoang Son 1 Duc, Mai Anh 1 Duc, Pham Viet 1 Alexandre Eremenko 1 Fagella, Núria 1 Fels, Gregor 1 Ferreira, Gustavo Rodrigues 1 Fiacchi, Matteo 1 Filip, Simion 1 Fornæss, John Erik 1 Freitas Paulo da Costa, Bernardo 1 Gigante, Giuliana 1 Gignac, William 1 Gorbovickis, Igors 1 Greb, Daniel 1 Greene, Robert Everist 1 Grigorchuk, Rostislav Ivanovich 1 Guedj, Vincent ...and 65 more Authors all top 5 Cited in 76 Serials 14 The Journal of Geometric Analysis 11 Journal of Mathematical Analysis and Applications 11 Annales de l’Institut Fourier 11 Mathematische Annalen 10 Mathematische Zeitschrift 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Proceedings of the American Mathematical Society 7 Nagoya Mathematical Journal 6 Transactions of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Conformal Geometry and Dynamics 6 Complex Variables and Elliptic Equations 5 Advances in Mathematics 5 Michigan Mathematical Journal 5 International Journal of Mathematics 4 Inventiones Mathematicae 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Discrete and Continuous Dynamical Systems 3 Journal of Modern Dynamics 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Acta Mathematica Vietnamica 2 American Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Fundamenta Mathematicae 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Science in China. Series A 2 Bulletin des Sciences Mathématiques 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Bollettino dell’Unione Matematica Italiana 1 Analysis Mathematica 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Probability Theory and Related Fields 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Taiwanese Journal of Mathematics 1 Nonlinear Functional Analysis and Applications 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Complex Analysis and its Synergies 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 24 Fields 163 Several complex variables and analytic spaces (32-XX) 93 Dynamical systems and ergodic theory (37-XX) 16 Algebraic geometry (14-XX) 13 Functions of a complex variable (30-XX) 12 Differential geometry (53-XX) 5 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year