# zbMATH — the first resource for mathematics

## Bedford, Eric

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 Author ID: bedford.eric Published as: Bedford, E.; Bedford, Eric
 Documents Indexed: 128 Publications since 1970, including 3 Books Reviewing Activity: 1 Review
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#### Co-Authors

 35 single-authored 16 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 Yur’evich 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 Federbush, Paul G. 1 Firsova, Tanya 1 Glassey, Robert T. 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.
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#### 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 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 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 Journal of Modern Dynamics
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#### Fields

 92 Several complex variables and analytic spaces (32-XX) 41 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)

#### Citations contained in zbMATH

113 Publications have been cited 1,981 times in 1,155 Documents Cited by Year
A new capacity for plurisubharmonic functions. Zbl 0547.32012
Bedford, Eric; Taylor, B. A.
1982
The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0315.31007
Bedford, Eric; Taylor, B. A.
1976
Polynomial diffeomorphisms of $${\mathbb C}^2$$: Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037
Bedford, Eric; Smillie, John
1991
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034
Bedford, Eric; Lyubich, Mikhail; Smillie, John
1993
Fine topology, Šilov boundary, and $$(dd^ c)^ n$$. Zbl 0677.31005
Bedford, Eric; Taylor, B. A.
1987
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013
Bedford, Eric; Smillie, John
1992
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. II: Stable manifolds and recurrence. Zbl 0744.58068
Bedford, Eric; Smillie, John
1991
A construction of peak functions on weakly pseudoconvex domains. Zbl 0392.32004
Bedford, Eric; Fornaess, John Erik
1978
On the envelope of holomorphy of a 2-sphere in $$\mathbb{C}^ 2$$. Zbl 0736.32009
Bedford, Eric; Klingenberg, Wilhelm
1991
Envelopes of holomorphy of certain 2-spheres in $${\mathbb{C}}^ 2$$. Zbl 0535.32008
Bedford, Eric; Gaveau, Bernard
1983
Domains in $${\mathbb{C}}^{n+1}$$ with noncompact automorphism group. Zbl 0733.32014
Bedford, Eric; Pinchuk, Sergey
1991
Periodicities in linear fractional recurrences: degree growth of birational surface maps. Zbl 1171.37023
Bedford, Eric; Kim, Kyounghee
2006
Foliations and complex Monge-Ampère equations. Zbl 0351.35063
Bedford, Eric; Kalka, Morris
1977
Proper holomorphic mappings. Zbl 0534.32009
Bedford, Eric
1984
Dynamics of rational surface automorphisms: linear fractional recurrences. Zbl 1185.37128
Bedford, Eric; Kim, Kyounghee
2009
Proper self maps of weakly pseudoconvex domains. Zbl 0499.32016
Bedford, Eric; Bell, Steve
1982
Biholomorphic maps of weakly pseudoconvex domains. Zbl 0401.32006
Bedford, Eric; Fornaess, John Erik
1978
On the degree growth of birational mappings in higher dimension. Zbl 1067.37054
Bedford, Eric; Kim, Kyounghee
2004
Distribution of periodic points of polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
1993
Domains in $$\mathbb{C}^2$$ with noncompact automorphism groups. Zbl 0907.32012
Bedford, Eric; Pinchuk, Sergey
1998
Survey of pluri-potential theory. Zbl 0786.31001
Bedford, Eric
1993
Domains in $${\mathbb{C}}^ 2$$ with noncompact holomorphic automorphism groups. Zbl 0668.32029
Bedford, E.; Pinchuk, S. I.
1989
Dynamics of regular polynomial endomorphisms of $$\mathbb{C}^k$$. Zbl 0941.37027
Bedford, Eric; Jonsson, Mattias
2000
Polynomial diffeomorphisms of $$\mathbb{C}^2$$. VI: Connectivity of $$J$$. Zbl 0916.58022
Bedford, Eric; Smillie, John
1998
Plurisubharmonic functions with logarithmic singularities. Zbl 0626.32022
Bedford, E.; Taylor, B. A.
1988
Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle. Zbl 0401.35093
Bedford, Eric; Taylor, B. A.
1978
Energy and invariant measures for birational surface maps. Zbl 1076.37031
Bedford, Eric; Diller, Jeffrey
2005
Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034
Bedford, Eric; Smillie, John
2004
On the automorphism group of a Stein manifold. Zbl 0532.32014
Bedford, Eric
1983
Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms. Zbl 0446.35025
Bedford, Eric; Taylor, B. A.
1979
Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015
Bedford, Eric; Smillie, John
2006
Polynomial diffeomorphisms of $$\mathbb{C}^2$$. VII: Hyperbolicity and external rays. Zbl 0952.37008
Bedford, Eric; Smillie, John
1999
Holomorphic mapping of annuli in $$\mathbb{C}^n$$ and the associated extremal function. Zbl 0422.32021
Bedford, Eric; Burns, Dan
1979
Counterexamples to regularity for the complex Monge-Ampère equation. Zbl 0393.35010
Bedford, Eric; Fornaess, John Erik
1979
Local extension of CR functions from weakly pseudoconvex boundaries. Zbl 0401.32007
Bedford, Eric; Fornaess, John Erik
1978
Domains with pseudoconvex neighborhood systems. Zbl 0399.32013
Bedford, Eric; Fornaess, John Erik
1978
Convex domains with noncompact automorphism groups. Zbl 0847.32023
Bedford, E.; Pinchuk, S. I.
1994
The complex equilibrium measure of a symmetric convex set in $${\mathbb{R}}^ n$$. Zbl 0595.32022
Bedford, Eric; Taylor, B. A.
1986
Extension of proper holomorphic mappings past the boundary. Zbl 0583.32044
Bedford, Eric; Bell, Steve
1985
Hypersurfaces with bounded Levi form. Zbl 0365.32011
Bedford, Eric; Gaveau, Bernard
1978
Polynomial diffeomorphisms of $${\mathbb{C}}^2$$. V: Critical points and Lyapunov exponents. Zbl 1004.37027
Bedford, Eric; Smillie, John
1998
Polynomial diffeomorphisms of $$\mathbb C^2$$. VIII: Quasi-expansion. Zbl 1004.37028
Bedford, Eric; Smillie, John
2002
Domains in $${\mathbb{C}}^ 2$$ with noncompact groups of holomorphic automorphisms. Zbl 0643.32011
Bedford, E.; Pinchuk, S. I.
1988
Pluriharmonic boundary values. Zbl 0298.31012
Bedford, Eric; Federbush, Paul
1974
Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift. Zbl 1083.37038
Bedford, Eric; Diller, Jeffrey
2005
Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027
Bedford, Eric; Smillie, John
1991
$$T^ n$$-actions on holomorphically separable complex manifolds. Zbl 0651.32007
Barrett, David E.; Bedford, Eric; Dadok, Jiri
1989
Bounded domains with prescribed group of automorphisms. Zbl 0647.32027
1987
Complex manifolds in pseudoconvex boundaries. Zbl 0472.32007
Bedford, Eric; Fornaess, J. E.
1981
Proper holomorphic mappings from domains with real analytic boundary. Zbl 0556.32013
Bedford, Eric
1984
$$(\partial\overline\partial)_b$$ and the real parts of CR functions. Zbl 0441.32008
Bedford, Eric
1980
Uniqueness for the complex Monge-Ampère equation for functions of logarithmic growth. Zbl 0677.32002
Bedford, Eric; Taylor, B. A.
1989
Boundary behavior of proper holomorphic correspondences. Zbl 0582.32024
Bedford, E.; Bell, S.
1985
Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044
Bedford, Eric; Smillie, John; Ueda, Tetsuo
2017
Continuous families of rational surface automorphisms with positive entropy. Zbl 1202.37063
Bedford, Eric; Kim, Kyounghee
2010
Holomorphic mapping of products of annuli in $$\mathbb{C}^n$$. Zbl 0449.32024
Bedford, Eric
1980
The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0322.31008
Bedford, Eric; Taylor, B. A.
1976
Linear recurrences in the degree sequences of monomial mappings. Zbl 1161.37032
Bedford, Eric; Kim, Kyounghee
2008
Existence of proper mappings from domains in $${\mathbb{C}}^ 2$$. Zbl 0707.32005
Barletta, Elisabetta; Bedford, Eric
1990
Two counterexamples concerning the pluricomplex Green function in $${\mathbb{C}}^ n$$. Zbl 0681.32014
Bedford, Eric; Demailly, Jean-Pierre
1988
Levi flat hypersurfaces in $${\mathbb{C}}^ 2$$ with prescribed boundary: Stability. Zbl 0574.32019
Bedford, Eric
1982
Levi flat hypersurfaces which are not holomorphically flat. Zbl 0459.32007
Bedford, Eric; De Bartolomeis, Paolo
1981
Extremal plurisubharmonic functions for certain domains in $$\mathbb{C}^2$$. Zbl 0418.32015
Bedford, Eric
1979
Dynamics of rational surface automorphisms: rotation domains. Zbl 1298.37026
Bedford, Eric; Kyounghee, Kim
2012
The dynamical degrees of a mapping. Zbl 1298.37025
Bedford, Eric
2011
Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices. Zbl 1215.37031
Bedford, Eric; Kim, Kyounghee
2008
The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029
Bedford, Eric; Smillie, John
2006
External rays in the dynamics of polynomial automorphisms of $$C^2$$. Zbl 0922.58067
Bedford, Eric; Smillie, John
1999
Action of the automorphisms of a smooth domain in $${\mathbb{C}}^ n$$. Zbl 0566.32024
Bedford, Eric
1985
Holomorphic continuation of smooth functions over Levi-flat hypersurfaces. Zbl 0382.32009
Bedford, Eric
1977
Dynamics of a two parameter family of plane birational maps: maximal entropy. Zbl 1116.37031
Bedford, Eric; Diller, Jeff
2006
Proper holomorphic mappings from strongly pseudoconvex domains. Zbl 0498.32011
Bedford, Eric
1982
The operator $$(dd^c)^n$$ on complex spaces. Zbl 0479.32006
Bedford, Eric
1982
The Dirichlet problem for an equation of complex Monge-Ampère type. Zbl 0413.35017
Bedford, Eric; Taylor, B. A.
1979
A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071
Bedford, Eric; Smillie, John
2017
Dynamics of (pseudo) automorphisms of 3-space: periodicity versus positive entropy. Zbl 1295.37014
Bedford, Eric; Kim, Kyounghee
2014
Linear fractional recurrences: periodicities and integrability. Zbl 1267.37052
Bedford, Eric; Kim, Kyounghee
2011
Smooth plurisubharmonic functions without subextension. Zbl 0628.32020
Bedford, Eric; Taylor, B. A.
1988
Invariant forms on complex manifolds with application to holomorphic mappings. Zbl 0532.32015
Bedford, Eric
1983
Two applications of a nonlinear integral formula to analytic functions. Zbl 0444.32009
Bedford, E.; Taylor, B. A.
1980
Domains of existence for plurisubharmonic functions. Zbl 0403.32011
Bedford, Eric; Burns, Dan
1978
Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059
Bedford, Eric; Cantat, Serge; Kim, Kyounghee
2014
Degree complexity of birational maps related to matrix inversion. Zbl 1205.15009
Bedford, Eric; Truong, Tuyen Trung
2010
Complex Hénon maps with semi-parabolic fixed points. Zbl 1209.37050
Bedford, Eric
2010
Iteration of polynomial automorphisms of $$C^ 2$$. Zbl 0746.58040
Bedford, Eric
1991
Local and global envelopes of holomorphy of domains in $${\mathbb{C}}^ 2$$. Zbl 0599.32010
Bedford, Eric
1985
Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation. Zbl 0492.32013
Bedford, Eric
1982
Stability of the polynomial hull of $$T^ 2$$. Zbl 0472.32012
Bedford, Eric
1981
Eigenvalues of Hopf manifolds. Zbl 0344.53042
Bedford, Eric; Suwa, Tatsuo
1977
The Dirichlet problem for some overdetermined systems on the unit ball in C$$^n$$. Zbl 0289.35064
Bedford, Eric
1974
No smooth Julia sets for polynomial diffeomorphisms of $${\mathbb C}^2$$ with positive entropy. Zbl 1403.37050
Bedford, Eric; Kim, Kyounghee
2017
Degree complexity of a family of birational maps. Zbl 1153.37387
Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie
2008
On the dynamics of birational mappings of the plane. Zbl 1111.37303
Bedford, Eric
2003
Proper holomorphic mappings and real reflection groups. Zbl 0556.32012
1985
Holomorphic correspondences of bounded domains in $${\mathbb{C}}^ n$$. Zbl 0554.32018
Bedford, Eric; Bell, Steve
1984
Boundary behavior of proper holomorphic mappings. Zbl 0524.32006
Bedford, E.; Bell, S.; Catlin, D.
1983
An example of a plurisubharmonic measure on the unit ball in $$C^2$$. Zbl 0449.32019
Bedford, Eric
1980
Envelopes of continuous, plurisubharmonic functions. Zbl 0421.31008
Bedford, Eric
1980
The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0356.31007
Bedford, Eric; Taylor, B. A.
1977
Pseudoautomorphisms with invariant curves. Zbl 1366.14017
Bedford, Eric; Diller, Jeffery; Kim, Kyounghee
2015
Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044
Bedford, Eric; Smillie, John; Ueda, Tetsuo
2017
A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071
Bedford, Eric; Smillie, John
2017
No smooth Julia sets for polynomial diffeomorphisms of $${\mathbb C}^2$$ with positive entropy. Zbl 1403.37050
Bedford, Eric; Kim, Kyounghee
2017
Pseudoautomorphisms with invariant curves. Zbl 1366.14017
Bedford, Eric; Diller, Jeffery; Kim, Kyounghee
2015
Dynamics of (pseudo) automorphisms of 3-space: periodicity versus positive entropy. Zbl 1295.37014
Bedford, Eric; Kim, Kyounghee
2014
Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059
Bedford, Eric; Cantat, Serge; Kim, Kyounghee
2014
Dynamics of rational surface automorphisms: rotation domains. Zbl 1298.37026
Bedford, Eric; Kyounghee, Kim
2012
The dynamical degrees of a mapping. Zbl 1298.37025
Bedford, Eric
2011
Linear fractional recurrences: periodicities and integrability. Zbl 1267.37052
Bedford, Eric; Kim, Kyounghee
2011
Continuous families of rational surface automorphisms with positive entropy. Zbl 1202.37063
Bedford, Eric; Kim, Kyounghee
2010
Degree complexity of birational maps related to matrix inversion. Zbl 1205.15009
Bedford, Eric; Truong, Tuyen Trung
2010
Complex Hénon maps with semi-parabolic fixed points. Zbl 1209.37050
Bedford, Eric
2010
Dynamics of rational surface automorphisms. Zbl 1243.37039
Bedford, Eric
2010
Dynamics of rational surface automorphisms: linear fractional recurrences. Zbl 1185.37128
Bedford, Eric; Kim, Kyounghee
2009
Real dynamics of a family of plane birational maps: trapping regions and entropy zero. Zbl 1183.37029
Bedford, Eric; Diller, Jeffrey
2009
Linear recurrences in the degree sequences of monomial mappings. Zbl 1161.37032
Bedford, Eric; Kim, Kyounghee
2008
Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices. Zbl 1215.37031
Bedford, Eric; Kim, Kyounghee
2008
Degree complexity of a family of birational maps. Zbl 1153.37387
Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie
2008
Complex Monge-Ampère of a maximum. Zbl 1134.32013
Bedford, Eric; Ma’u, Sione
2008
Periodicities in linear fractional recurrences: degree growth of birational surface maps. Zbl 1171.37023
Bedford, Eric; Kim, Kyounghee
2006
Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015
Bedford, Eric; Smillie, John
2006
The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029
Bedford, Eric; Smillie, John
2006
Dynamics of a two parameter family of plane birational maps: maximal entropy. Zbl 1116.37031
Bedford, Eric; Diller, Jeff
2006
Energy and invariant measures for birational surface maps. Zbl 1076.37031
Bedford, Eric; Diller, Jeffrey
2005
Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift. Zbl 1083.37038
Bedford, Eric; Diller, Jeffrey
2005
On the degree growth of birational mappings in higher dimension. Zbl 1067.37054
Bedford, Eric; Kim, Kyounghee
2004
Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034
Bedford, Eric; Smillie, John
2004
On the dynamics of birational mappings of the plane. Zbl 1111.37303
Bedford, Eric
2003
Polynomial diffeomorphisms of $$\mathbb C^2$$. VIII: Quasi-expansion. Zbl 1004.37028
Bedford, Eric; Smillie, John
2002
Dynamics of regular polynomial endomorphisms of $$\mathbb{C}^k$$. Zbl 0941.37027
Bedford, Eric; Jonsson, Mattias
2000
Potential theory in complex dynamics: Regular polynomial mappings of $$\mathbb{C}^k$$. Zbl 0961.32019
Bedford, Eric; Jonsson, Mattias
2000
Polynomial diffeomorphisms of $$\mathbb{C}^2$$. VII: Hyperbolicity and external rays. Zbl 0952.37008
Bedford, Eric; Smillie, John
1999
External rays in the dynamics of polynomial automorphisms of $$C^2$$. Zbl 0922.58067
Bedford, Eric; Smillie, John
1999
Domains in $$\mathbb{C}^2$$ with noncompact automorphism groups. Zbl 0907.32012
Bedford, Eric; Pinchuk, Sergey
1998
Polynomial diffeomorphisms of $$\mathbb{C}^2$$. VI: Connectivity of $$J$$. Zbl 0916.58022
Bedford, Eric; Smillie, John
1998
Polynomial diffeomorphisms of $${\mathbb{C}}^2$$. V: Critical points and Lyapunov exponents. Zbl 1004.37027
Bedford, Eric; Smillie, John
1998
Convex domains with noncompact automorphism groups. Zbl 0847.32023
Bedford, E.; Pinchuk, S. I.
1994
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034
Bedford, Eric; Lyubich, Mikhail; Smillie, John
1993
Distribution of periodic points of polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
1993
Survey of pluri-potential theory. Zbl 0786.31001
Bedford, Eric
1993
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013
Bedford, Eric; Smillie, John
1992
Polynomial diffeomorphisms of $${\mathbb C}^2$$: Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037
Bedford, Eric; Smillie, John
1991
Polynomial diffeomorphisms of $$\mathbb{C}^ 2$$. II: Stable manifolds and recurrence. Zbl 0744.58068
Bedford, Eric; Smillie, John
1991
On the envelope of holomorphy of a 2-sphere in $$\mathbb{C}^ 2$$. Zbl 0736.32009
Bedford, Eric; Klingenberg, Wilhelm
1991
Domains in $${\mathbb{C}}^{n+1}$$ with noncompact automorphism group. Zbl 0733.32014
Bedford, Eric; Pinchuk, Sergey
1991
Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027
Bedford, Eric; Smillie, John
1991
Iteration of polynomial automorphisms of $$C^ 2$$. Zbl 0746.58040
Bedford, Eric
1991
Generalized Reinhardt domains. Zbl 0724.32016
1991
Existence of proper mappings from domains in $${\mathbb{C}}^ 2$$. Zbl 0707.32005
Barletta, Elisabetta; Bedford, Eric
1990
Domains in $${\mathbb{C}}^ 2$$ with noncompact holomorphic automorphism groups. Zbl 0668.32029
Bedford, E.; Pinchuk, S. I.
1989
$$T^ n$$-actions on holomorphically separable complex manifolds. Zbl 0651.32007
Barrett, David E.; Bedford, Eric; Dadok, Jiri
1989
Uniqueness for the complex Monge-Ampère equation for functions of logarithmic growth. Zbl 0677.32002
Bedford, Eric; Taylor, B. A.
1989
Plurisubharmonic functions with logarithmic singularities. Zbl 0626.32022
Bedford, E.; Taylor, B. A.
1988
Domains in $${\mathbb{C}}^ 2$$ with noncompact groups of holomorphic automorphisms. Zbl 0643.32011
Bedford, E.; Pinchuk, S. I.
1988
Two counterexamples concerning the pluricomplex Green function in $${\mathbb{C}}^ n$$. Zbl 0681.32014
Bedford, Eric; Demailly, Jean-Pierre
1988
Smooth plurisubharmonic functions without subextension. Zbl 0628.32020
Bedford, Eric; Taylor, B. A.
1988
Analytic continuation of biholomorphic maps. Zbl 0681.32010
Bedford, Eric; Pinchuk, Sergey
1988
Locally determined envelopes of holomorphy in $${\mathbb{C}}$$ 2. Zbl 0653.32010
Bedford, Eric
1988
Fine topology, Šilov boundary, and $$(dd^ c)^ n$$. Zbl 0677.31005
Bedford, Eric; Taylor, B. A.
1987
Bounded domains with prescribed group of automorphisms. Zbl 0647.32027
1987
The complex equilibrium measure of a symmetric convex set in $${\mathbb{R}}^ n$$. Zbl 0595.32022
Bedford, Eric; Taylor, B. A.
1986
Boundary continuity of proper holomorphic correspondences. Zbl 0596.32027
Bedford, Eric; Bell, Steve
1986
Extension of proper holomorphic mappings past the boundary. Zbl 0583.32044
Bedford, Eric; Bell, Steve
1985
Boundary behavior of proper holomorphic correspondences. Zbl 0582.32024
Bedford, E.; Bell, S.
1985
Action of the automorphisms of a smooth domain in $${\mathbb{C}}^ n$$. Zbl 0566.32024
Bedford, Eric
1985
Local and global envelopes of holomorphy of domains in $${\mathbb{C}}^ 2$$. Zbl 0599.32010
Bedford, Eric
1985
Proper holomorphic mappings and real reflection groups. Zbl 0556.32012
1985
Proper holomorphic mappings. Zbl 0534.32009
Bedford, Eric
1984
Proper holomorphic mappings from domains with real analytic boundary. Zbl 0556.32013
Bedford, Eric
1984
Holomorphic correspondences of bounded domains in $${\mathbb{C}}^ n$$. Zbl 0554.32018
Bedford, Eric; Bell, Steve
1984
Envelopes of holomorphy of certain 2-spheres in $${\mathbb{C}}^ 2$$. Zbl 0535.32008
Bedford, Eric; Gaveau, Bernard
1983
On the automorphism group of a Stein manifold. Zbl 0532.32014
Bedford, Eric
1983
Invariant forms on complex manifolds with application to holomorphic mappings. Zbl 0532.32015
Bedford, Eric
1983
Boundary behavior of proper holomorphic mappings. Zbl 0524.32006
Bedford, E.; Bell, S.; Catlin, D.
1983
A new capacity for plurisubharmonic functions. Zbl 0547.32012
Bedford, Eric; Taylor, B. A.
1982
Proper self maps of weakly pseudoconvex domains. Zbl 0499.32016
Bedford, Eric; Bell, Steve
1982
Levi flat hypersurfaces in $${\mathbb{C}}^ 2$$ with prescribed boundary: Stability. Zbl 0574.32019
Bedford, Eric
1982
Proper holomorphic mappings from strongly pseudoconvex domains. Zbl 0498.32011
Bedford, Eric
1982
The operator $$(dd^c)^n$$ on complex spaces. Zbl 0479.32006
Bedford, Eric
1982
Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation. Zbl 0492.32013
Bedford, Eric
1982
Complex manifolds in pseudoconvex boundaries. Zbl 0472.32007
Bedford, Eric; Fornaess, J. E.
1981
Levi flat hypersurfaces which are not holomorphically flat. Zbl 0459.32007
Bedford, Eric; De Bartolomeis, Paolo
1981
Stability of the polynomial hull of $$T^ 2$$. Zbl 0472.32012
Bedford, Eric
1981
$$(\partial\overline\partial)_b$$ and the real parts of CR functions. Zbl 0441.32008
Bedford, Eric
1980
Holomorphic mapping of products of annuli in $$\mathbb{C}^n$$. Zbl 0449.32024
Bedford, Eric
1980
Two applications of a nonlinear integral formula to analytic functions. Zbl 0444.32009
Bedford, E.; Taylor, B. A.
1980
An example of a plurisubharmonic measure on the unit ball in $$C^2$$. Zbl 0449.32019
Bedford, Eric
1980
Envelopes of continuous, plurisubharmonic functions. Zbl 0421.31008
Bedford, Eric
1980
Approximation on pseudoconvex domains. Zbl 0445.32014
Bedford, Eric; Fornaess, John Erik
1980
Extremal plurisubharmonic functions and pluripolar sets in $${\mathbb C}^2$$. Zbl 0417.31001
Bedford, Eric
1980
Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms. Zbl 0446.35025
Bedford, Eric; Taylor, B. A.
1979
Holomorphic mapping of annuli in $$\mathbb{C}^n$$ and the associated extremal function. Zbl 0422.32021
Bedford, Eric; Burns, Dan
1979
Counterexamples to regularity for the complex Monge-Ampère equation. Zbl 0393.35010
Bedford, Eric; Fornaess, John Erik
1979
Extremal plurisubharmonic functions for certain domains in $$\mathbb{C}^2$$. Zbl 0418.32015
Bedford, Eric
1979
The Dirichlet problem for an equation of complex Monge-Ampère type. Zbl 0413.35017
Bedford, Eric; Taylor, B. A.
1979
A construction of peak functions on weakly pseudoconvex domains. Zbl 0392.32004
Bedford, Eric; Fornaess, John Erik
1978
Biholomorphic maps of weakly pseudoconvex domains. Zbl 0401.32006
Bedford, Eric; Fornaess, John Erik
1978
Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle. Zbl 0401.35093
Bedford, Eric; Taylor, B. A.
1978
Local extension of CR functions from weakly pseudoconvex boundaries. Zbl 0401.32007
Bedford, Eric; Fornaess, John Erik
1978
Domains with pseudoconvex neighborhood systems. Zbl 0399.32013
Bedford, Eric; Fornaess, John Erik
1978
...and 13 more Documents
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#### Cited by 833 Authors

 46 Bedford, Eric 27 Zeriahi, Ahmed 26 Guedj, Vincent 22 Sibony, Nessim 21 Fornæss, John Erik 19 Tien Cuong Dinh 15 Cegrell, Urban 15 Kołodziej, Sławomir 15 Levenberg, Norman jun. 15 Phạm Hoàng Hiệp 14 Le Mâu Hai 14 Sukhov, Alexandre B. 13 Favre, Charles 12 Bell, Steven R. 12 Forstnerič, Franc 12 Krantz, Steven George 12 Lu, Chinh Hoang 11 Berman, Robert J. 11 Berteloot, François 11 Darvas, Tamás 11 Di Nezza, Eleonora 11 Dinew, Sławomir 11 Kim, Kyounghee 10 Błocki, Zbigniew 10 Boucksom, Sébastien 10 Dujardin, Romain 10 Huang, Xiaojun 10 Jonsson, Mattias 10 Kim, Kang-Tae 10 Patrizio, Giorgio 10 Tomassini, Giuseppe 10 Verma, Kaushal 9 Bloom, Thomas 9 Cantat, Serge 9 Diller, Jeffrey 9 Peters, Han 9 Straube, Emil J. 9 Wan, Dongrui 8 Baouendi, Mohammed Salah 8 Byun, Jisoo 8 Coman, Dan 8 Lempert, László 8 Ma’u, Sione 8 Montanari, Annamaria 8 Nguyen Quang Dieu 8 Nguyen, Ngoc Cuong 8 Pan, Yifei 8 Roeder, Roland K. W. 8 Smillie, John 8 Truong Trung Tuyen 7 Benelkourchi, Slimane 7 Burns, Daniel M. jun. 7 Demailly, Jean-Pierre 7 Eyssidieux, Philippe 7 Hong, Nguyen Xuan 7 Lyubich, Mikhail Yur’evich 7 Nguyen Xuan Hong 7 Ninh Văn Thu 7 Rothschild, Linda Preiss 7 Taylor, Bert Alan 7 Witt Nyström, David 6 Åhag, Per 6 Citti, Giovanna 6 Coupet, Bernard 6 de Thélin, Henry 6 Diederich, Klas 6 Do, Hoang Son 6 Gaussier, Hervé 6 Harvey, Reese 6 Herbort, Gregor 6 Ishii, Yutaka 6 Rubinstein, Yanir A. 6 Shimizu, Satoru 6 Takahasi, Hiroki 6 Nguyên Viêt Anh 5 Ahn, Taeyong 5 Bayraktar, Turgay 5 Bera, Sayani 5 Berndtsson, Bo 5 Chen, Xiuxiong 5 Cima, Anna 5 Czyż, Rafał 5 Lin, Jan-Li 5 Ma, Daowei 5 Pflug, Peter 5 Rong, Feng 5 Shafikov, Rasul Gazimovich 5 Tanase, Raluca 5 Tian, Gang 5 Tu, Zhenhan 5 Uehara, Takato 5 Vigny, Gabriel 5 Vu, Duc-Viet 5 Wang, Wei 5 Wolf, Christian 5 Xing, Yang 5 Zampieri, Giuseppe 5 Zhou, Xiangyu 4 Baracco, Luca 4 Barrett, David E. ...and 733 more Authors
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#### Cited in 178 Serials

 70 Mathematische Annalen 67 The Journal of Geometric Analysis 61 Mathematische Zeitschrift 46 Journal of Mathematical Analysis and Applications 41 Annales de l’Institut Fourier 40 Transactions of the American Mathematical Society 39 Proceedings of the American Mathematical Society 35 Advances in Mathematics 31 Duke Mathematical Journal 29 Inventiones Mathematicae 26 Michigan Mathematical Journal 24 Journal of Functional Analysis 23 International Journal of Mathematics 22 Acta Mathematica 20 Ergodic Theory and Dynamical Systems 20 Journal of the American Mathematical Society 20 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 20 Potential Analysis 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Complex Variables and Elliptic Equations 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Arkiv för Matematik 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Manuscripta Mathematica 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Annales Polonici Mathematici 10 Journal für die Reine und Angewandte Mathematik 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Compositio Mathematica 8 Journal of Differential Equations 8 Results in Mathematics 8 Science in China. Series A 8 Conformal Geometry and Dynamics 7 Communications in Mathematical Physics 7 Nagoya Mathematical Journal 7 Proceedings of the Steklov Institute of Mathematics 6 Israel Journal of Mathematics 6 Journal d’Analyse Mathématique 6 Journal of Approximation Theory 6 Tohoku Mathematical Journal. Second Series 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Modern Dynamics 5 Acta Mathematica Vietnamica 5 Bulletin de la Société Mathématique de France 5 Publications Mathématiques 5 Geometric and Functional Analysis. GAFA 5 Calculus of Variations and Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 5 Dynamical Systems 5 Complex Analysis and Operator Theory 4 Mathematical Notes 4 Rocky Mountain Journal of Mathematics 4 Indiana University Mathematics Journal 4 Kodai Mathematical Journal 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Bulletin des Sciences Mathématiques 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Science China. Mathematics 4 Bollettino dell’Unione Matematica Italiana 3 Communications on Pure and Applied Mathematics 3 Journal of Geometry and Physics 3 Archiv der Mathematik 3 Journal of the Mathematical Society of Japan 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 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Transformation Groups 3 Advances in Difference Equations 3 Analysis & PDE 3 Complex Analysis and its Synergies 3 Arnold Mathematical Journal 3 Journal de l’École Polytechnique – Mathématiques 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Chaos, Solitons and Fractals 2 Commentarii Mathematici Helvetici 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of Number Theory 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Osaka Journal of Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 Journal of Difference Equations and Applications ...and 78 more Serials
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#### Cited in 46 Fields

 918 Several complex variables and analytic spaces (32-XX) 249 Dynamical systems and ergodic theory (37-XX) 117 Partial differential equations (35-XX) 112 Algebraic geometry (14-XX) 107 Differential geometry (53-XX) 102 Potential theory (31-XX) 45 Functions of a complex variable (30-XX) 41 Global analysis, analysis on manifolds (58-XX) 22 Functional analysis (46-XX) 20 Approximations and expansions (41-XX) 18 Manifolds and cell complexes (57-XX) 15 Number theory (11-XX) 15 Operator theory (47-XX) 12 Measure and integration (28-XX) 10 Difference and functional equations (39-XX) 10 Probability theory and stochastic processes (60-XX) 9 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Group theory and generalizations (20-XX) 8 Ordinary differential equations (34-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Topological groups, Lie groups (22-XX) 6 Real functions (26-XX) 6 General topology (54-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 5 Quantum theory (81-XX) 3 Commutative algebra (13-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-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)