Edit Profile (opens in new tab) Bedford, Eric Compute Distance To: Compute Author ID: bedford.eric Published as: Bedford, Eric; Bedford, E. Documents Indexed: 126 Publications since 1970 4 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 41 Co-Authors with 95 Joint Publications 894 Co-Co-Authors all top 5 Co-Authors 35 single-authored 17 Smillie, John 14 Kim, Kyounghee 14 Taylor, Bert Alan 7 Fornæss, John Erik 6 Bell, Steven R. 6 Pinchuk, Sergey 4 Dadok, Jiri 4 Diller, Jeffrey 3 D’Angelo, John P. 3 Greene, Robert Everist 3 Krantz, Steven George 2 Burns, Daniel M. jun. 2 Gaveau, Bernard 2 Jonsson, Mattias 2 Lyubich, Mikhail 2 Truong Trung Tuyen 1 Abarenkova, Nina 1 Barletta, Elisabetta 1 Barrett, David E. 1 Bercovici, Hari 1 Cantat, Serge 1 Catlin, David W. 1 De Bartolomeis, Paolo 1 Demailly, Jean-Pierre 1 Diller, Jeffery 1 Dujardin, Romain 1 Federbush, Paul G. 1 Firsova, Tanya 1 Glassey, Robert T. 1 Guerini, Lorenzo 1 Kalka, Morris 1 Kawai, Takahiro 1 Klingenberg, Wilhelm jun. 1 Kyounghee, Kim 1 Larson, Michael E. 1 Maillard, Jean-Marie 1 Ma’u, Sione 1 Sternberg, Peter J. 1 Suwa, Tatsuo 1 Ueda, Tetsuo 1 Zumbrun, Kevin R. all top 5 Serials 12 Mathematische Annalen 10 Indiana University Mathematics Journal 7 American Journal of Mathematics 7 The Journal of Geometric Analysis 6 Inventiones Mathematicae 6 Proceedings of the American Mathematical Society 5 Duke Mathematical Journal 5 Michigan Mathematical Journal 4 Ergodic Theory and Dynamical Systems 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 3 Proceedings of Symposia in Pure Mathematics 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Journal of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Tohoku Mathematical Journal. Second Series 1 Publicacions Matemàtiques 1 Mathematics of the USSR, Sbornik 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Journal of Modern Dynamics all top 5 Fields 92 Several complex variables and analytic spaces (32-XX) 43 Dynamical systems and ergodic theory (37-XX) 24 Potential theory (31-XX) 15 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,150 times in 1,270 Documents Cited by ▼ Year ▼ A new capacity for plurisubharmonic functions. Zbl 0547.32012Bedford, Eric; Taylor, B. A. 303 1982 The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0315.31007Bedford, Eric; Taylor, B. A. 243 1976 Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037Bedford, Eric; Smillie, John 82 1991 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034Bedford, Eric; Lyubich, Mikhail; Smillie, John 76 1993 Fine topology, Šilov boundary, and \((dd^ c)^ n\). Zbl 0677.31005Bedford, Eric; Taylor, B. A. 73 1987 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). II: Stable manifolds and recurrence. Zbl 0744.58068Bedford, Eric; Smillie, John 49 1991 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013Bedford, Eric; Smillie, John 47 1992 A construction of peak functions on weakly pseudoconvex domains. Zbl 0392.32004Bedford, Eric; Fornaess, John Erik 46 1978 Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008Bedford, Eric; Gaveau, Bernard 41 1983 On the envelope of holomorphy of a 2-sphere in \(\mathbb{C}^ 2\). Zbl 0736.32009Bedford, Eric; Klingenberg, Wilhelm 40 1991 Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group. Zbl 0733.32014Bedford, Eric; Pinchuk, Sergey 40 1991 Periodicities in linear fractional recurrences: degree growth of birational surface maps. Zbl 1171.37023Bedford, Eric; Kim, Kyounghee 36 2006 Foliations and complex Monge-Ampère equations. Zbl 0351.35063Bedford, Eric; Kalka, Morris 34 1977 Dynamics of rational surface automorphisms: linear fractional recurrences. Zbl 1185.37128Bedford, Eric; Kim, Kyounghee 28 2009 Proper self maps of weakly pseudoconvex domains. Zbl 0499.32016Bedford, Eric; Bell, Steve 26 1982 Proper holomorphic mappings. Zbl 0534.32009Bedford, Eric 26 1984 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039Bedford, Eric; Lyubich, Mikhail; Smillie, John 25 1993 On the degree growth of birational mappings in higher dimension. Zbl 1067.37054Bedford, Eric; Kim, Kyounghee 25 2004 Biholomorphic maps of weakly pseudoconvex domains. Zbl 0401.32006Bedford, Eric; Fornaess, John Erik 25 1978 Dynamics of regular polynomial endomorphisms of \(\mathbb{C}^k\). Zbl 0941.37027Bedford, Eric; Jonsson, Mattias 24 2000 Domains in \(\mathbb{C}^2\) with noncompact automorphism groups. Zbl 0907.32012Bedford, Eric; Pinchuk, Sergey 24 1998 Plurisubharmonic functions with logarithmic singularities. Zbl 0626.32022Bedford, E.; Taylor, B. A. 23 1988 Polynomial diffeomorphisms of \(\mathbb{C}^2\). VI: Connectivity of \(J\). Zbl 0916.58022Bedford, Eric; Smillie, John 22 1998 Domains in \({\mathbb{C}}^ 2\) with noncompact holomorphic automorphism groups. Zbl 0668.32029Bedford, E.; Pinchuk, S. I. 22 1989 Energy and invariant measures for birational surface maps. Zbl 1076.37031Bedford, Eric; Diller, Jeffrey 22 2005 Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle. Zbl 0401.35093Bedford, Eric; Taylor, B. A. 22 1978 Survey of pluri-potential theory. Zbl 0786.31001Bedford, Eric 21 1993 Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms. Zbl 0446.35025Bedford, Eric; Taylor, B. A. 21 1979 Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034Bedford, Eric; Smillie, John 20 2004 On the automorphism group of a Stein manifold. Zbl 0532.32014Bedford, Eric 20 1983 Convex domains with noncompact automorphism groups. Zbl 0847.32023Bedford, E.; Pinchuk, S. I. 19 1994 Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015Bedford, Eric; Smillie, John 19 2006 Counterexamples to regularity for the complex Monge-Ampère equation. Zbl 0393.35010Bedford, Eric; Fornaess, John Erik 19 1979 Polynomial diffeomorphisms of \(\mathbb{C}^2\). VII: Hyperbolicity and external rays. Zbl 0952.37008Bedford, Eric; Smillie, John 18 1999 Holomorphic mapping of annuli in \(\mathbb{C}^n\) and the associated extremal function. Zbl 0422.32021Bedford, Eric; Burns, Dan 18 1979 Local extension of CR functions from weakly pseudoconvex boundaries. Zbl 0401.32007Bedford, Eric; Fornaess, John Erik 18 1978 The complex equilibrium measure of a symmetric convex set in \({\mathbb{R}}^ n\). Zbl 0595.32022Bedford, Eric; Taylor, B. A. 17 1986 Domains with pseudoconvex neighborhood systems. Zbl 0399.32013Bedford, Eric; Fornaess, John Erik 17 1978 Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents. Zbl 1004.37027Bedford, Eric; Smillie, John 16 1998 Bounded domains with prescribed group of automorphisms. Zbl 0647.32027Bedford, Eric; Dadok, Jiri 16 1987 Extension of proper holomorphic mappings past the boundary. Zbl 0583.32044Bedford, Eric; Bell, Steve 16 1985 Pluriharmonic boundary values. Zbl 0298.31012Bedford, Eric; Federbush, Paul 15 1974 Hypersurfaces with bounded Levi form. Zbl 0365.32011Bedford, Eric; Gaveau, Bernard 15 1978 Polynomial diffeomorphisms of \(\mathbb C^2\). VIII: Quasi-expansion. Zbl 1004.37028Bedford, Eric; Smillie, John 14 2002 Domains in \({\mathbb{C}}^ 2\) with noncompact groups of holomorphic automorphisms. Zbl 0643.32011Bedford, E.; Pinchuk, S. I. 13 1988 \(T^ n\)-actions on holomorphically separable complex manifolds. Zbl 0651.32007Barrett, David E.; Bedford, Eric; Dadok, Jiri 13 1989 Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift. Zbl 1083.37038Bedford, Eric; Diller, Jeffrey 13 2005 Uniqueness for the complex Monge-Ampère equation for functions of logarithmic growth. Zbl 0677.32002Bedford, Eric; Taylor, B. A. 12 1989 \((\partial\overline\partial)_b\) and the real parts of CR functions. Zbl 0441.32008Bedford, Eric 12 1980 Complex manifolds in pseudoconvex boundaries. Zbl 0472.32007Bedford, Eric; Fornaess, J. E. 12 1981 Boundary behavior of proper holomorphic correspondences. Zbl 0582.32024Bedford, E.; Bell, S. 12 1985 Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027Bedford, Eric; Smillie, John 11 1991 Continuous families of rational surface automorphisms with positive entropy. Zbl 1202.37063Bedford, Eric; Kim, Kyounghee 11 2010 Proper holomorphic mappings from domains with real analytic boundary. Zbl 0556.32013Bedford, Eric 11 1984 Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044Bedford, Eric; Smillie, John; Ueda, Tetsuo 11 2017 Two counterexamples concerning the pluricomplex Green function in \({\mathbb{C}}^ n\). Zbl 0681.32014Bedford, Eric; Demailly, Jean-Pierre 10 1988 Linear recurrences in the degree sequences of monomial mappings. Zbl 1161.37032Bedford, Eric; Kim, Kyounghee 10 2008 Levi flat hypersurfaces in \({\mathbb{C}}^ 2\) with prescribed boundary: Stability. Zbl 0574.32019Bedford, Eric 10 1982 Holomorphic mapping of products of annuli in \(\mathbb{C}^n\). Zbl 0449.32024Bedford, Eric 9 1980 Levi flat hypersurfaces which are not holomorphically flat. Zbl 0459.32007Bedford, Eric; De Bartolomeis, Paolo 9 1981 The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0322.31008Bedford, Eric; Taylor, B. A. 9 1976 Existence of proper mappings from domains in \({\mathbb{C}}^ 2\). Zbl 0707.32005Barletta, Elisabetta; Bedford, Eric 8 1990 Extremal plurisubharmonic functions for certain domains in \(\mathbb{C}^2\). Zbl 0418.32015Bedford, Eric 8 1979 The dynamical degrees of a mapping. Zbl 1298.37025Bedford, Eric 8 2011 The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029Bedford, Eric; Smillie, John 7 2006 The Dirichlet problem for an equation of complex Monge-Ampère type. Zbl 0413.35017Bedford, Eric; Taylor, B. A. 7 1979 Proper holomorphic mappings from strongly pseudoconvex domains. Zbl 0498.32011Bedford, Eric 7 1982 Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices. Zbl 1215.37031Bedford, Eric; Kim, Kyounghee 7 2008 Holomorphic continuation of smooth functions over Levi-flat hypersurfaces. Zbl 0382.32009Bedford, Eric 7 1977 Dynamics of rational surface automorphisms: rotation domains. Zbl 1298.37026Bedford, Eric; Kyounghee, Kim 7 2012 Action of the automorphisms of a smooth domain in \({\mathbb{C}}^ n\). Zbl 0566.32024Bedford, Eric 7 1985 External rays in the dynamics of polynomial automorphisms of \(C^2\). Zbl 0922.58067Bedford, Eric; Smillie, John 6 1999 Dynamics of a two parameter family of plane birational maps: maximal entropy. Zbl 1116.37031Bedford, Eric; Diller, Jeff 6 2006 The operator \((dd^c)^n\) on complex spaces. Zbl 0479.32006Bedford, Eric 6 1982 Smooth plurisubharmonic functions without subextension. Zbl 0628.32020Bedford, Eric; Taylor, B. A. 5 1988 Dynamics of (pseudo) automorphisms of 3-space: periodicity versus positive entropy. Zbl 1295.37014Bedford, Eric; Kim, Kyounghee 5 2014 Two applications of a nonlinear integral formula to analytic functions. Zbl 0444.32009Bedford, E.; Taylor, B. A. 5 1980 Stability of the polynomial hull of \(T^ 2\). Zbl 0472.32012Bedford, Eric 5 1981 Proper holomorphic mappings and real reflection groups. Zbl 0556.32012Bedford, E.; Dadok, J. 5 1985 The Dirichlet problem for some overdetermined systems on the unit ball in C\(^n\). Zbl 0289.35064Bedford, Eric 5 1974 Invariant forms on complex manifolds with application to holomorphic mappings. Zbl 0532.32015Bedford, Eric 5 1983 Linear fractional recurrences: periodicities and integrability. Zbl 1267.37052Bedford, Eric; Kim, Kyounghee 5 2011 Domains of existence for plurisubharmonic functions. Zbl 0403.32011Bedford, Eric; Burns, Dan 5 1978 A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071Bedford, Eric; Smillie, John 5 2017 Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059Bedford, Eric; Cantat, Serge; Kim, Kyounghee 4 2014 Local and global envelopes of holomorphy of domains in \({\mathbb{C}}^ 2\). Zbl 0599.32010Bedford, Eric 4 1985 Iteration of polynomial automorphisms of \(C^ 2\). Zbl 0746.58040Bedford, Eric 4 1991 Degree complexity of birational maps related to matrix inversion. Zbl 1205.15009Bedford, Eric; Truong, Tuyen Trung 4 2010 Envelopes of continuous, plurisubharmonic functions. Zbl 0421.31008Bedford, Eric 4 1980 Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation. Zbl 0492.32013Bedford, Eric 4 1982 Eigenvalues of Hopf manifolds. Zbl 0344.53042Bedford, Eric; Suwa, Tatsuo 4 1977 Complex Hénon maps with semi-parabolic fixed points. Zbl 1209.37050Bedford, Eric 4 2010 On the dynamics of birational mappings of the plane. Zbl 1111.37303Bedford, Eric 3 2003 Pseudoautomorphisms with invariant curves. Zbl 1366.14017Bedford, Eric; Diller, Jeffery; Kim, Kyounghee 3 2015 An example of a plurisubharmonic measure on the unit ball in \(C^2\). Zbl 0449.32019Bedford, Eric 3 1980 Degree complexity of a family of birational maps. Zbl 1153.37387Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie 3 2008 Boundary behavior of proper holomorphic mappings. Zbl 0524.32006Bedford, E.; Bell, S.; Catlin, D. 3 1983 Holomorphic correspondences of bounded domains in \({\mathbb{C}}^ n\). Zbl 0554.32018Bedford, Eric; Bell, Steve 3 1984 No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy. Zbl 1403.37050Bedford, Eric; Kim, Kyounghee 3 2017 Boundary continuity of proper holomorphic correspondences. Zbl 0596.32027Bedford, Eric; Bell, Steve 2 1986 Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of \(C^2\). Zbl 07472401Bedford, Eric; Guerini, Lorenzo; Smillie, John 1 2022 Fatou components for conservative holomorphic surface automorphisms. Zbl 1404.32031Bedford, Eric 1 2018 Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044Bedford, Eric; Smillie, John; Ueda, Tetsuo 11 2017 A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071Bedford, Eric; Smillie, John 5 2017 No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy. Zbl 1403.37050Bedford, Eric; Kim, Kyounghee 3 2017 Pseudoautomorphisms with invariant curves. Zbl 1366.14017Bedford, Eric; Diller, Jeffery; Kim, Kyounghee 3 2015 Dynamics of (pseudo) automorphisms of 3-space: periodicity versus positive entropy. Zbl 1295.37014Bedford, Eric; Kim, Kyounghee 5 2014 Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059Bedford, Eric; Cantat, Serge; Kim, Kyounghee 4 2014 Dynamics of rational surface automorphisms: rotation domains. Zbl 1298.37026Bedford, Eric; Kyounghee, Kim 7 2012 The dynamical degrees of a mapping. Zbl 1298.37025Bedford, Eric 8 2011 Linear fractional recurrences: periodicities and integrability. Zbl 1267.37052Bedford, Eric; Kim, Kyounghee 5 2011 Continuous families of rational surface automorphisms with positive entropy. Zbl 1202.37063Bedford, Eric; Kim, Kyounghee 11 2010 Degree complexity of birational maps related to matrix inversion. Zbl 1205.15009Bedford, Eric; Truong, Tuyen Trung 4 2010 Complex Hénon maps with semi-parabolic fixed points. Zbl 1209.37050Bedford, Eric 4 2010 Dynamics of rational surface automorphisms. Zbl 1243.37039Bedford, Eric 2 2010 Dynamics of rational surface automorphisms: linear fractional recurrences. Zbl 1185.37128Bedford, Eric; Kim, Kyounghee 28 2009 Real dynamics of a family of plane birational maps: trapping regions and entropy zero. Zbl 1183.37029Bedford, Eric; Diller, Jeffrey 2 2009 Linear recurrences in the degree sequences of monomial mappings. Zbl 1161.37032Bedford, Eric; Kim, Kyounghee 10 2008 Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices. Zbl 1215.37031Bedford, Eric; Kim, Kyounghee 7 2008 Degree complexity of a family of birational maps. Zbl 1153.37387Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie 3 2008 Complex Monge-Ampère of a maximum. Zbl 1134.32013Bedford, Eric; Ma’u, Sione 2 2008 Periodicities in linear fractional recurrences: degree growth of birational surface maps. Zbl 1171.37023Bedford, Eric; Kim, Kyounghee 36 2006 Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015Bedford, Eric; Smillie, John 19 2006 The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029Bedford, Eric; Smillie, John 7 2006 Dynamics of a two parameter family of plane birational maps: maximal entropy. Zbl 1116.37031Bedford, Eric; Diller, Jeff 6 2006 Energy and invariant measures for birational surface maps. Zbl 1076.37031Bedford, Eric; Diller, Jeffrey 22 2005 Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift. Zbl 1083.37038Bedford, Eric; Diller, Jeffrey 13 2005 On the degree growth of birational mappings in higher dimension. Zbl 1067.37054Bedford, Eric; Kim, Kyounghee 25 2004 Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034Bedford, Eric; Smillie, John 20 2004 On the dynamics of birational mappings of the plane. Zbl 1111.37303Bedford, Eric 3 2003 Polynomial diffeomorphisms of \(\mathbb C^2\). VIII: Quasi-expansion. Zbl 1004.37028Bedford, Eric; Smillie, John 14 2002 Dynamics of regular polynomial endomorphisms of \(\mathbb{C}^k\). Zbl 0941.37027Bedford, Eric; Jonsson, Mattias 24 2000 Potential theory in complex dynamics: Regular polynomial mappings of \(\mathbb{C}^k\). Zbl 0961.32019Bedford, Eric; Jonsson, Mattias 1 2000 Polynomial diffeomorphisms of \(\mathbb{C}^2\). VII: Hyperbolicity and external rays. Zbl 0952.37008Bedford, Eric; Smillie, John 18 1999 External rays in the dynamics of polynomial automorphisms of \(C^2\). Zbl 0922.58067Bedford, Eric; Smillie, John 6 1999 Domains in \(\mathbb{C}^2\) with noncompact automorphism groups. Zbl 0907.32012Bedford, Eric; Pinchuk, Sergey 24 1998 Polynomial diffeomorphisms of \(\mathbb{C}^2\). VI: Connectivity of \(J\). Zbl 0916.58022Bedford, Eric; Smillie, John 22 1998 Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents. Zbl 1004.37027Bedford, Eric; Smillie, John 16 1998 Convex domains with noncompact automorphism groups. Zbl 0847.32023Bedford, E.; Pinchuk, S. I. 19 1994 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034Bedford, Eric; Lyubich, Mikhail; Smillie, John 76 1993 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039Bedford, Eric; Lyubich, Mikhail; Smillie, John 25 1993 Survey of pluri-potential theory. Zbl 0786.31001Bedford, Eric 21 1993 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013Bedford, Eric; Smillie, John 47 1992 Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037Bedford, Eric; Smillie, John 82 1991 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). II: Stable manifolds and recurrence. Zbl 0744.58068Bedford, Eric; Smillie, John 49 1991 On the envelope of holomorphy of a 2-sphere in \(\mathbb{C}^ 2\). Zbl 0736.32009Bedford, Eric; Klingenberg, Wilhelm 40 1991 Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group. Zbl 0733.32014Bedford, Eric; Pinchuk, Sergey 40 1991 Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027Bedford, Eric; Smillie, John 11 1991 Iteration of polynomial automorphisms of \(C^ 2\). Zbl 0746.58040Bedford, Eric 4 1991 Generalized Reinhardt domains. Zbl 0724.32016Bedford, Eric; Dadok, Jiri 2 1991 Existence of proper mappings from domains in \({\mathbb{C}}^ 2\). Zbl 0707.32005Barletta, Elisabetta; Bedford, Eric 8 1990 Domains in \({\mathbb{C}}^ 2\) with noncompact holomorphic automorphism groups. Zbl 0668.32029Bedford, E.; Pinchuk, S. I. 22 1989 \(T^ n\)-actions on holomorphically separable complex manifolds. Zbl 0651.32007Barrett, David E.; Bedford, Eric; Dadok, Jiri 13 1989 Uniqueness for the complex Monge-Ampère equation for functions of logarithmic growth. Zbl 0677.32002Bedford, Eric; Taylor, B. A. 12 1989 Plurisubharmonic functions with logarithmic singularities. Zbl 0626.32022Bedford, E.; Taylor, B. A. 23 1988 Domains in \({\mathbb{C}}^ 2\) with noncompact groups of holomorphic automorphisms. Zbl 0643.32011Bedford, E.; Pinchuk, S. I. 13 1988 Two counterexamples concerning the pluricomplex Green function in \({\mathbb{C}}^ n\). Zbl 0681.32014Bedford, Eric; Demailly, Jean-Pierre 10 1988 Smooth plurisubharmonic functions without subextension. Zbl 0628.32020Bedford, Eric; Taylor, B. A. 5 1988 Analytic continuation of biholomorphic maps. Zbl 0681.32010Bedford, Eric; Pinchuk, Sergey 1 1988 Locally determined envelopes of holomorphy in \({\mathbb{C}}\) 2. Zbl 0653.32010Bedford, Eric 1 1988 Fine topology, Šilov boundary, and \((dd^ c)^ n\). Zbl 0677.31005Bedford, Eric; Taylor, B. A. 73 1987 Bounded domains with prescribed group of automorphisms. Zbl 0647.32027Bedford, Eric; Dadok, Jiri 16 1987 The complex equilibrium measure of a symmetric convex set in \({\mathbb{R}}^ n\). Zbl 0595.32022Bedford, Eric; Taylor, B. A. 17 1986 Boundary continuity of proper holomorphic correspondences. Zbl 0596.32027Bedford, Eric; Bell, Steve 2 1986 Extension of proper holomorphic mappings past the boundary. Zbl 0583.32044Bedford, Eric; Bell, Steve 16 1985 Boundary behavior of proper holomorphic correspondences. Zbl 0582.32024Bedford, E.; Bell, S. 12 1985 Action of the automorphisms of a smooth domain in \({\mathbb{C}}^ n\). Zbl 0566.32024Bedford, Eric 7 1985 Proper holomorphic mappings and real reflection groups. Zbl 0556.32012Bedford, E.; Dadok, J. 5 1985 Local and global envelopes of holomorphy of domains in \({\mathbb{C}}^ 2\). Zbl 0599.32010Bedford, Eric 4 1985 Proper holomorphic mappings. Zbl 0534.32009Bedford, Eric 26 1984 Proper holomorphic mappings from domains with real analytic boundary. Zbl 0556.32013Bedford, Eric 11 1984 Holomorphic correspondences of bounded domains in \({\mathbb{C}}^ n\). Zbl 0554.32018Bedford, Eric; Bell, Steve 3 1984 Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008Bedford, Eric; Gaveau, Bernard 41 1983 On the automorphism group of a Stein manifold. Zbl 0532.32014Bedford, Eric 20 1983 Invariant forms on complex manifolds with application to holomorphic mappings. Zbl 0532.32015Bedford, Eric 5 1983 Boundary behavior of proper holomorphic mappings. Zbl 0524.32006Bedford, E.; Bell, S.; Catlin, D. 3 1983 A new capacity for plurisubharmonic functions. Zbl 0547.32012Bedford, Eric; Taylor, B. A. 303 1982 Proper self maps of weakly pseudoconvex domains. Zbl 0499.32016Bedford, Eric; Bell, Steve 26 1982 Levi flat hypersurfaces in \({\mathbb{C}}^ 2\) with prescribed boundary: Stability. Zbl 0574.32019Bedford, Eric 10 1982 Proper holomorphic mappings from strongly pseudoconvex domains. Zbl 0498.32011Bedford, Eric 7 1982 The operator \((dd^c)^n\) on complex spaces. Zbl 0479.32006Bedford, Eric 6 1982 Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation. Zbl 0492.32013Bedford, Eric 4 1982 Complex manifolds in pseudoconvex boundaries. Zbl 0472.32007Bedford, Eric; Fornaess, J. E. 12 1981 Levi flat hypersurfaces which are not holomorphically flat. Zbl 0459.32007Bedford, Eric; De Bartolomeis, Paolo 9 1981 Stability of the polynomial hull of \(T^ 2\). Zbl 0472.32012Bedford, Eric 5 1981 \((\partial\overline\partial)_b\) and the real parts of CR functions. Zbl 0441.32008Bedford, Eric 12 1980 Holomorphic mapping of products of annuli in \(\mathbb{C}^n\). Zbl 0449.32024Bedford, Eric 9 1980 Two applications of a nonlinear integral formula to analytic functions. Zbl 0444.32009Bedford, E.; Taylor, B. A. 5 1980 Envelopes of continuous, plurisubharmonic functions. Zbl 0421.31008Bedford, Eric 4 1980 An example of a plurisubharmonic measure on the unit ball in \(C^2\). Zbl 0449.32019Bedford, Eric 3 1980 Extremal plurisubharmonic functions and pluripolar sets in \({\mathbb C}^2\). Zbl 0417.31001Bedford, Eric 2 1980 Approximation on pseudoconvex domains. Zbl 0445.32014Bedford, Eric; Fornaess, John Erik 2 1980 Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms. Zbl 0446.35025Bedford, Eric; Taylor, B. A. 21 1979 Counterexamples to regularity for the complex Monge-Ampère equation. Zbl 0393.35010Bedford, Eric; Fornaess, John Erik 19 1979 Holomorphic mapping of annuli in \(\mathbb{C}^n\) and the associated extremal function. Zbl 0422.32021Bedford, Eric; Burns, Dan 18 1979 Extremal plurisubharmonic functions for certain domains in \(\mathbb{C}^2\). Zbl 0418.32015Bedford, Eric 8 1979 The Dirichlet problem for an equation of complex Monge-Ampère type. Zbl 0413.35017Bedford, Eric; Taylor, B. A. 7 1979 A construction of peak functions on weakly pseudoconvex domains. Zbl 0392.32004Bedford, Eric; Fornaess, John Erik 46 1978 Biholomorphic maps of weakly pseudoconvex domains. Zbl 0401.32006Bedford, Eric; Fornaess, John Erik 25 1978 Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle. Zbl 0401.35093Bedford, Eric; Taylor, B. A. 22 1978 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 889 Authors 47 Bedford, Eric 27 Guedj, Vincent 27 Zeriahi, Ahmed 22 Sibony, Nessim 21 Fornæss, John Erik 19 Tien Cuong Dinh 16 Kołodziej, Sławomir 16 Le Mâu Hai 16 Levenberg, Norman jun. 16 Lu, Chinh Hoang 16 Phạm Hoàng Hiệp 15 Cegrell, Urban 14 Di Nezza, Eleonora 14 Krantz, Steven George 14 Sukhov, Alexandre B. 13 Darvas, Tamás 13 Favre, Charles 12 Bell, Steven R. 12 Forstnerič, Franc 12 Kim, Kyounghee 12 Peters, Han 11 Berman, Robert J. 11 Berteloot, François 11 Boucksom, Sébastien 11 Dinew, Sławomir 11 Dujardin, Romain 10 Błocki, Zbigniew 10 Diller, Jeffrey 10 Huang, Xiaojun 10 Jonsson, Mattias 10 Kim, Kang-Tae 10 Ma’u, Sione 10 Nguyen Quang Dieu 10 Tomassini, Giuseppe 10 Verma, Kaushal 9 Bloom, Thomas 9 Cantat, Serge 9 Nguyen Xuan Hong 9 Nguyen, Ngoc Cuong 9 Patrizio, Giorgio 9 Straube, Emil J. 9 Wan, Dongrui 8 Baouendi, Mohammed Salah 8 Byun, Jisoo 8 Coman, Dan 8 Lempert, László 8 Lyubich, Mikhail 8 Montanari, Annamaria 8 Pan, Yifei 8 Roeder, Roland K. W. 8 Smillie, John 8 Truong Trung Tuyen 8 Witt Nyström, David 7 Åhag, Per 7 Benelkourchi, Slimane 7 Bera, Sayani 7 Burns, Daniel M. jun. 7 de Thélin, Henry 7 Demailly, Jean-Pierre 7 Do, Hoang Son 7 Eyssidieux, Philippe 7 Gaussier, Hervé 7 Hong, Nguyen Xuan 7 Ninh Văn Thu 7 Rothschild, Linda Preiss 7 Taylor, Bert Alan 7 Vigny, Gabriel 7 Vu, Duc-Viet 6 Citti, Giovanna 6 Coupet, Bernard 6 Czyż, Rafał 6 Diederich, Klas 6 Herbort, Gregor 6 Ishii, Yutaka 6 Shcherbina, Nikolay 6 Shimizu, Satoru 6 Takahasi, Hiroki 6 Nguyên Viêt Anh 6 Wang, Wei 5 Ahn, Taeyong 5 Bayraktar, Turgay 5 Berndtsson, Bo 5 Cima, Anna 5 Dupont, Christophe 5 Harvey, Reese 5 Kolář, Martin 5 Lawson, Herbert Blaine jun. 5 Lebl, Jiří 5 Lin, Jan-Li 5 Ma, Daowei 5 Noell, Alan V. 5 Pal, Ratna 5 Pflug, Peter 5 Radu, Remus 5 Rong, Feng 5 Ross, Julius 5 Rubinstein, Yanir A. 5 Shafikov, Rasul Gazimovich 5 Tanase, Raluca 5 Tosatti, Valentino ...and 789 more Authors all top 5 Cited in 193 Serials 76 The Journal of Geometric Analysis 74 Mathematische Annalen 67 Mathematische Zeitschrift 52 Journal of Mathematical Analysis and Applications 46 Annales de l’Institut Fourier 43 Advances in Mathematics 40 Transactions of the American Mathematical Society 39 Proceedings of the American Mathematical Society 32 Duke Mathematical Journal 31 Inventiones Mathematicae 30 International Journal of Mathematics 26 Michigan Mathematical Journal 25 Journal of Functional Analysis 23 Ergodic Theory and Dynamical Systems 22 Acta Mathematica 20 Potential Analysis 19 Annales de la Faculté des Sciences de Toulouse. 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Serie V 6 Bollettino dell’Unione Matematica Italiana 5 Bulletin de la Société Mathématique de France 5 Publications Mathématiques 5 Bulletin des Sciences Mathématiques 5 Discrete and Continuous Dynamical Systems 5 Dynamical Systems 5 Complex Analysis and its Synergies 4 Mathematical Notes 4 Rocky Mountain Journal of Mathematics 4 Kodai Mathematical Journal 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Annals of Mathematics. Second Series 4 Acta Mathematica Sinica. English Series 4 Computational Methods and Function Theory 4 Science China. Mathematics 4 Journal of Siberian Federal University. Mathematics & Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Archiv der Mathematik 3 Commentarii Mathematici Helvetici 3 Journal of the Mathematical Society of Japan 3 Memoirs of the American Mathematical Society 3 Pacific Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Physica D 3 Constructive Approximation 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Indagationes Mathematicae. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Experimental Mathematics 3 Transformation Groups 3 Advances in Difference Equations 3 Analysis & PDE 3 Arnold Mathematical Journal 3 Journal de l’École Polytechnique – Mathématiques 2 Analysis Mathematica 2 Bulletin of the Australian Mathematical Society 2 Journal of Statistical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Chaos, Solitons and Fractals 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. 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Serie II ...and 93 more Serials all top 5 Cited in 47 Fields 1,011 Several complex variables and analytic spaces (32-XX) 271 Dynamical systems and ergodic theory (37-XX) 131 Algebraic geometry (14-XX) 127 Partial differential equations (35-XX) 124 Differential geometry (53-XX) 109 Potential theory (31-XX) 46 Functions of a complex variable (30-XX) 46 Global analysis, analysis on manifolds (58-XX) 24 Functional analysis (46-XX) 21 Number theory (11-XX) 20 Approximations and expansions (41-XX) 19 Manifolds and cell complexes (57-XX) 16 Operator theory (47-XX) 13 Difference and functional equations (39-XX) 12 Measure and integration (28-XX) 10 Probability theory and stochastic processes (60-XX) 9 Group theory and generalizations (20-XX) 9 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Ordinary differential equations (34-XX) 7 Topological groups, Lie groups (22-XX) 7 General topology (54-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year