Edit Profile (opens in new tab) Dujardin, Romain Compute Distance To: Compute Author ID: dujardin.romain Published as: Dujardin, Romain; Dujardin, R. Homepage: https://perso.lpsm.paris/~rdujardin/Site/Accueil.html External Links: MGP · Google Scholar Documents Indexed: 35 Publications since 2001 Co-Authors: 13 Co-Authors with 15 Joint Publications 256 Co-Co-Authors all top 5 Co-Authors 20 single-authored 4 Guedj, Vincent 3 Deroin, Bertrand 3 Diller, Jeffrey 3 Favre, Charles 1 Astorg, Matthieu 1 Bedford, Eric 1 Berger, Pierre 1 Buff, Xavier 1 Lyubich, Mikhail 1 Peters, Han 1 Raissy, Jasmin 1 Sibony, Nessim 1 Tien Cuong Dinh all top 5 Serials 3 Mathematische Annalen 2 American Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Ergodic Theory and Dynamical Systems 1 Communications in Mathematical Physics 1 Commentarii Mathematici Helvetici 1 Michigan Mathematical Journal 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue all top 5 Fields 31 Dynamical systems and ergodic theory (37-XX) 21 Several complex variables and analytic spaces (32-XX) 5 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 312 times in 187 Documents Cited by ▼ Year ▼ Distribution of rational maps with a preperiodic critical point. Zbl 1246.37071Dujardin, Romain; Favre, Charles 34 2008 A two-dimensional polynomial mapping with a wandering Fatou component. Zbl 1368.37055Astorg, Matthieu; Buff, Xavier; Dujardin, Romain; Peters, Han; Raissy, Jasmin 25 2016 Hénon-like mappings in \(\mathbb C^2\). Zbl 1064.37035Dujardin, Romain 23 2004 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029Dujardin, Romain; Lyubich, Mikhail 23 2015 Laminar currents and birational dynamics. Zbl 1099.37037Dujardin, Romain 22 2006 Dynamics of meromorphic mappings with small topological degree. II: Energy and invariant measure. Zbl 1297.37022Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 18 2011 Dynamics of meromorphic maps with small topological degree. III: Geometric currents and ergodic theory. Zbl 1197.37059Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 13 2010 The intersection of laminar currents. (Sur l’intersection des courants laminaires.) Zbl 1048.32021Dujardin, Romain 13 2004 On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\). Zbl 1079.37040Dinh, Tien Cuong; Dujardin, Romain; Sibony, Nessim 12 2005 Laminar currents in \(\mathbb P^2\). Zbl 1021.37018Dujardin, Romain 12 2003 Dynamics of meromorphic maps with small topological degree. I: from cohomology to currents. Zbl 1234.37039Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 11 2010 Bifurcation currents and equidistribution in parameter space. Zbl 1405.37003Dujardin, Romain 11 2014 Complex projective structures: Lyapunov exponent, degree, and harmonic measure. Zbl 1381.57013Deroin, Bertrand; Dujardin, Romain 9 2017 Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\). Zbl 1406.37041Dujardin, Romain 9 2017 The dynamical Manin-Mumford problem for plane polynomial automorphisms. Zbl 1392.37111Dujardin, R.; Favre, C. 8 2017 A non-laminar dynamical Green current. Zbl 1343.37034Dujardin, Romain 8 2016 Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\). Zbl 1333.37024Dujardin, Romain 8 2012 The supports of higher bifurcation currents. Zbl 1314.37032Dujardin, Romain 7 2013 Cubic polynomials: a measurable view of parameter space. Zbl 1180.37058Dujardin, Romain 6 2009 On stability and hyperbolicity for polynomial automorphisms of \(\mathbb{C}^2\). (Stabilité et hyperbolicité pour les automorphismes polynomiaux de \(\mathbb{C}^2\).) Zbl 1373.37111Berger, Pierre; Dujardin, Romain 6 2017 Lyapunov exponents for surface group representations. Zbl 1367.37046Deroin, Bertrand; Dujardin, Romain 6 2015 Structure properties of laminar currents on \(\mathbb{P}^2\). Zbl 1076.37033Dujardin, Romain 5 2005 Random walks, Kleinian groups, and bifurcation currents. Zbl 1337.37033Deroin, Bertrand; Dujardin, Romain 4 2012 Geometric properties of maximal psh functions. Zbl 1231.32027Dujardin, Romain; Guedj, Vincent 4 2012 Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms. Zbl 1207.37035Dujardin, Romain 4 2006 Wermer examples and currents. Zbl 1205.32025Dujardin, Romain 3 2010 A closing lemma for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1472.37058Dujardin, Romain 2 2020 Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents. (Dégénerescences de représentations dans \(\mathrm{SL}(2, \mathbb{C})\) et Exposants de Lyapunov.) Zbl 1439.37089Dujardin, Romain; Favre, Charles 2 2019 Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1467.37045Dujardin, Romain 1 2020 Some problems of arithmetic origin in rational dynamics. Zbl 1465.37001Dujardin, Romain 1 2021 Continuity of Lyapunov exponents for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1131.37055Dujardin, Romain 1 2007 Approximation of smooth functions on certain lamination. (Approximation des fonctions lisses sur certaines laminations.) Zbl 1102.53014Dujardin, Romain 1 2006 Some problems of arithmetic origin in rational dynamics. Zbl 1465.37001Dujardin, Romain 1 2021 A closing lemma for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1472.37058Dujardin, Romain 2 2020 Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1467.37045Dujardin, Romain 1 2020 Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents. (Dégénerescences de représentations dans \(\mathrm{SL}(2, \mathbb{C})\) et Exposants de Lyapunov.) Zbl 1439.37089Dujardin, Romain; Favre, Charles 2 2019 Complex projective structures: Lyapunov exponent, degree, and harmonic measure. Zbl 1381.57013Deroin, Bertrand; Dujardin, Romain 9 2017 Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\). Zbl 1406.37041Dujardin, Romain 9 2017 The dynamical Manin-Mumford problem for plane polynomial automorphisms. Zbl 1392.37111Dujardin, R.; Favre, C. 8 2017 On stability and hyperbolicity for polynomial automorphisms of \(\mathbb{C}^2\). (Stabilité et hyperbolicité pour les automorphismes polynomiaux de \(\mathbb{C}^2\).) Zbl 1373.37111Berger, Pierre; Dujardin, Romain 6 2017 A two-dimensional polynomial mapping with a wandering Fatou component. Zbl 1368.37055Astorg, Matthieu; Buff, Xavier; Dujardin, Romain; Peters, Han; Raissy, Jasmin 25 2016 A non-laminar dynamical Green current. Zbl 1343.37034Dujardin, Romain 8 2016 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029Dujardin, Romain; Lyubich, Mikhail 23 2015 Lyapunov exponents for surface group representations. Zbl 1367.37046Deroin, Bertrand; Dujardin, Romain 6 2015 Bifurcation currents and equidistribution in parameter space. Zbl 1405.37003Dujardin, Romain 11 2014 The supports of higher bifurcation currents. Zbl 1314.37032Dujardin, Romain 7 2013 Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\). Zbl 1333.37024Dujardin, Romain 8 2012 Random walks, Kleinian groups, and bifurcation currents. Zbl 1337.37033Deroin, Bertrand; Dujardin, Romain 4 2012 Geometric properties of maximal psh functions. Zbl 1231.32027Dujardin, Romain; Guedj, Vincent 4 2012 Dynamics of meromorphic mappings with small topological degree. II: Energy and invariant measure. Zbl 1297.37022Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 18 2011 Dynamics of meromorphic maps with small topological degree. III: Geometric currents and ergodic theory. Zbl 1197.37059Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 13 2010 Dynamics of meromorphic maps with small topological degree. I: from cohomology to currents. Zbl 1234.37039Diller, Jeffrey; Dujardin, Romain; Guedj, Vincent 11 2010 Wermer examples and currents. Zbl 1205.32025Dujardin, Romain 3 2010 Cubic polynomials: a measurable view of parameter space. Zbl 1180.37058Dujardin, Romain 6 2009 Distribution of rational maps with a preperiodic critical point. Zbl 1246.37071Dujardin, Romain; Favre, Charles 34 2008 Continuity of Lyapunov exponents for polynomial automorphisms of \(\mathbb{C}^2\). Zbl 1131.37055Dujardin, Romain 1 2007 Laminar currents and birational dynamics. Zbl 1099.37037Dujardin, Romain 22 2006 Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms. Zbl 1207.37035Dujardin, Romain 4 2006 Approximation of smooth functions on certain lamination. (Approximation des fonctions lisses sur certaines laminations.) Zbl 1102.53014Dujardin, Romain 1 2006 On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\). Zbl 1079.37040Dinh, Tien Cuong; Dujardin, Romain; Sibony, Nessim 12 2005 Structure properties of laminar currents on \(\mathbb{P}^2\). Zbl 1076.37033Dujardin, Romain 5 2005 Hénon-like mappings in \(\mathbb C^2\). Zbl 1064.37035Dujardin, Romain 23 2004 The intersection of laminar currents. (Sur l’intersection des courants laminaires.) Zbl 1048.32021Dujardin, Romain 13 2004 Laminar currents in \(\mathbb P^2\). Zbl 1021.37018Dujardin, Romain 12 2003 all cited Publications top 5 cited Publications all top 5 Cited by 158 Authors 16 Dujardin, Romain 13 Peters, Han 13 Tien Cuong Dinh 9 Sibony, Nessim 8 Favre, Charles 8 Gauthier, Thomas 7 Vigny, Gabriel 6 de Thélin, Henry 6 Roeder, Roland K. W. 5 Åhag, Per 5 Bedford, Eric 5 Bianchi, Fabrizio 5 DeMarco, Laura Grace 5 Diller, Jeffrey 5 Dupont, Christophe 5 Lyubich, Mikhail 5 Okuyama, Yûsuke 4 Astorg, Matthieu 4 Berger, Pierre 4 Berteloot, François 4 Cantat, Serge 4 Czyż, Rafał 4 Fornæss, John Erik 4 Ghioca, Dragos 3 Benini, Anna Miriam 3 Biebler, Sébastien 3 Dang, Nguyen-Bac 3 Guedj, Vincent 3 Hussenot Desenonges, Nicolas 3 Jonsson, Mattias 3 Raissy, Jasmin 3 Taflin, Johan 3 Vivas, Liz Raquel 2 Alvarez, Sébastien 2 Arosio, Leandro 2 Barrientos, Pablo G. 2 Bassanelli, Giovanni 2 Bera, Sayani 2 Boc Thaler, Luka 2 Buff, Xavier 2 Cegrell, Urban 2 Daurat, Sandrine 2 Deroin, Bertrand 2 Firsova, Tanya 2 Guerini, Lorenzo 2 Iwasaki, Katsunori 2 Ji, Zhuchao 2 Kaufmann, Lucas 2 Kim, Kyounghee 2 Lin, Jan-Li 2 Nguyên Viêt Anh 2 Pal, Ratna 2 Pilgrim, Kevin M. 2 Radu, Remus 2 Rivera-Letelier, Juan 2 Rogue, Axel 2 Siqueira, Carlos 2 Tanase, Raluca 2 Truong Trung Tuyen 2 Tucker, Thomas John 2 Uehara, Takato 2 Ye, Hexi 1 Alexeeva, Tatyana Anatolyevna 1 Baker, Matthew H. 1 Baladi, Viviane 1 Bayraktar, Turgay 1 Bell, Jason P. 1 Bencs, Ferenc 1 Blanc, Jérémy 1 Bleher, Pavel M. 1 Bracci, Filippo 1 Bullett, Shaun R. 1 Buys, Pjotr 1 Buzzi, Jérôme 1 Chang, Shu-Chiuan 1 Chio, Ivan 1 Comman, Henri 1 Costantini, Matteo 1 Crovisier, Sylvain 1 Datt, Gopal 1 De Leo, Roberto 1 de Simoi, Jacopo 1 Demers, Mark F. 1 Díaz, Lorenzo Justiniano 1 Dinew, Sławomir 1 Duval, Julien 1 Eskin, Alex 1 Fagella, Núria 1 Garijo, Antonio 1 Gayet, Damien 1 Gorbovickis, Igors 1 Gorodetskii, Anton Semenovich 1 Gualdi, Roberto 1 Guo, Xinwei 1 Hahn, David W. 1 Herrig, Thorsten 1 Hsia, Liang-Chung 1 Hussenot, Nicolas 1 Inou, Hiroyuki 1 Ishii, Yutaka ...and 58 more Authors all top 5 Cited in 69 Serials 16 Ergodic Theory and Dynamical Systems 14 Advances in Mathematics 13 Mathematische Annalen 12 The Journal of Geometric Analysis 7 Inventiones Mathematicae 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Mathematische Zeitschrift 6 Journal of Modern Dynamics 5 Annales de l’Institut Fourier 5 Transactions of the American Mathematical Society 5 Journal of the European Mathematical Society (JEMS) 4 Duke Mathematical Journal 4 Conformal Geometry and Dynamics 4 Annals of Mathematics. Second Series 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 International Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Compositio Mathematica 2 Geometriae Dedicata 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Dynamics 2 Algebra & Number Theory 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Acta Arithmetica 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publicacions Matemàtiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Fractals 1 Journal of Inequalities and Applications 1 Geometry & Topology 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Kyoto Journal of Mathematics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Complex Analysis and its Synergies 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana 1 Annales Henri Lebesgue all top 5 Cited in 26 Fields 158 Dynamical systems and ergodic theory (37-XX) 112 Several complex variables and analytic spaces (32-XX) 20 Algebraic geometry (14-XX) 16 Functions of a complex variable (30-XX) 8 Number theory (11-XX) 7 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year