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Author ID: cantat.serge Recent zbMATH articles by "Cantat, Serge"
Published as: Cantat, Serge; Cantat, S.
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 50 Publications since 1997, including 1 Book
1 Further Contribution
Co-Authors: 29 Co-Authors with 27 Joint Publications
492 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 412 times in 259 Documents Cited by Year
Dynamics of automorphisms of \(K3\) surfaces. (Dynamique des automorphismes des surfaces \(K3\).) Zbl 1045.37007
Cantat, Serge
46
2001
Normal subgroups in the Cremona group. Zbl 1278.14017
Cantat, Serge; Lamy, Stéphane; de Cornulier, Yves
35
2013
On the groups of birational transformations of surfaces. (Sur les groupes de transformations birationnelles des surfaces.) Zbl 1233.14011
Cantat, Serge
34
2011
Dynamics of automorphisms of complex projective surfaces. (Dynamique des automorphismes des surfaces projectives complexes.) Zbl 0943.37021
Cantat, Serge
32
1999
Bers and Hénon, Painlevé and Schrödinger. Zbl 1181.37068
Cantat, Serge
32
2009
Dynamical degrees of birational transformations of projective surfaces. Zbl 1394.14011
Blanc, Jérémy; Cantat, Serge
23
2016
Rational surfaces with a large group of automorphisms. Zbl 1268.14011
Cantat, Serge; Dolgachev, Igor
19
2012
Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation. Zbl 1204.34123
Cantat, Serge; Loray, Frank
18
2009
Birational symmetries of foliated surfaces. (Symétries birationnelles des surfaces feuilletées.) Zbl 1070.32022
Cantat, Serge; Favre, Charles
17
2005
Dynamics of automorphisms of compact complex surfaces. Zbl 1345.37001
Cantat, Serge
15
2014
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups. Zbl 1386.14147
Cantat, Serge; Oguiso, Keiji
12
2015
Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat. Zbl 1326.32038
Delzant, Thomas; Py, Pierre
12
2012
Holomorphic actions, Kummer examples, and Zimmer program. (Actions holomorphes, exemples de Kummer et programme de Zimmer.) Zbl 1280.22015
Cantat, Serge; Zeghib, Abdelghani
12
2012
Invariant hypersurfaces in holomorphic dynamics. Zbl 1232.32006
Cantat, Serge
9
2010
On the dynamics of the automorphism group of \(K3\) surfaces. (Sur la dynamique du groupe d’automorphismes des surfaces \(K3\).) Zbl 1081.14513
Cantat, S.
8
2001
Morphisms between Cremona groups and characterization of rational varieties. Zbl 1331.14020
Cantat, Serge
8
2014
Constraints on automorphism groups of higher dimensional manifolds. Zbl 1322.14061
Bayraktar, Turgay; Cantat, Serge
6
2013
The Cremona group in two variables. Zbl 1364.14009
Cantat, Serge
6
2013
Linearity of the exceptional set for maps of \(\mathbf P_k(\mathbb{C})\). Zbl 1056.32018
Briend, Jean-Yves; Cantat, Serge; Shishikura, Mitsuhiro
5
2004
Analytic actions of mapping class groups on surfaces. Zbl 1219.57025
Cantat, Serge; Cerveau, Dominique
5
2008
Central limit theorem for holomorphic endomorphisms and modular correspondences. (Théorème limite central pour les endomorphismes holomorphes et les correspondances modulaires.) Zbl 1094.37004
Cantat, Serge; Le Borgne, Stéphane
5
2005
Endomorphisms of homogeneous manifolds. (Endomorphismes des variétés homogènes.) Zbl 1059.32003
Cantat, Serge
4
2003
Topics in polynomial dynamical systems: existence, examples, rigidity. (Quelques aspects des systèmes dynamiques polynomiaux existence, exemples, rigidité.) Zbl 1333.37019
Cantat, Serge
4
2010
Characterization of the Lattès and Kummer examples. (Caractérisation des exemples de Lattès et de Kummer.) Zbl 1156.37012
Cantat, Serge
4
2008
Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059
Bedford, Eric; Cantat, Serge; Kim, Kyounghee
4
2014
Distortion in Cremona groups. Zbl 1462.14014
Cantat, Serge; de Cornulier, Yves
4
2020
A Kählerian version of a conjecture of Robert J. Zimmer. (Version Kählérienne d’une conjecture de Robert J. Zimmer.) Zbl 1072.22006
Cantat, Serge
3
2004
Groups of polynomial automorphisms of the plane. (Groupes d’automorphismes polynomiaux du plan.) Zbl 1115.14055
Cantat, Serge; Lamy, Stéphane
3
2006
Estimates for simple random walks of fundamental groups of surfaces. Zbl 0872.60051
Bartholdi, Laurent; Cantat, Serge; Ceccherini-Silberstein, Tullio; De la Harpe, Pierre
3
1997
Growth of unstable manifolds. (Croissance des variétés instables.) Zbl 1045.37023
Cantat, Serge
3
2003
Algebraic actions of discrete groups: the \(p\)-adic method. Zbl 1453.14042
Cantat, Serge; Xie, Junyi
3
2018
Commensurating actions of birational groups and groups of pseudo-automorphisms. (Actions commensurantes de groupes birationnels et groupes de pseudo-automorphismes.) Zbl 1475.14023
Cantat, Serge; de Cornulier, Yves
3
2019
On degrees of birational mappings. Zbl 1441.14044
Cantat, Serge; Xie, Junyi
3
2020
Automorphisms and dynamics: a list of open problems. Zbl 1441.14139
Cantat, Serge
2
2018
The Cremona group. Zbl 1451.14037
Cantat, Serge
2
2018
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy. Zbl 1476.37071
Cantat, Serge; Dupont, Christophe
2
2020
Automorphisms of compact Kähler manifolds with slow dynamics. Zbl 1458.37056
Cantat, Serge; Paris-Romaskevich, Olga
2
2021
Two examples related on a conjecture of Serge Lang. (Deux exemples concernant une conjecture de Serge Lang.) Zbl 0957.32007
Cantat, Serge
1
2000
Some aspects of polynomial dynamic systems. (Quelques aspects des systèmes dynamiques polynomiaux.) Zbl 1237.37007
Cantat, Serge; Chambert-Loir, Antoine; Guedj, Vincent
1
2010
\(p\)-adic dynamics (after the talks by Jean-Christophe Yoccoz). (Dynamique \(p\)-adique (d’après les exposés de Jean-Christophe Yoccoz).) Zbl 1267.37108
Cantat, Serge; Chambert-Loir, Antoine
1
2010
Birational permutations. Zbl 1175.14007
Cantat, Serge
1
2009
Automorphisms of compact Kähler manifolds with slow dynamics. Zbl 1458.37056
Cantat, Serge; Paris-Romaskevich, Olga
2
2021
Distortion in Cremona groups. Zbl 1462.14014
Cantat, Serge; de Cornulier, Yves
4
2020
On degrees of birational mappings. Zbl 1441.14044
Cantat, Serge; Xie, Junyi
3
2020
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy. Zbl 1476.37071
Cantat, Serge; Dupont, Christophe
2
2020
Commensurating actions of birational groups and groups of pseudo-automorphisms. (Actions commensurantes de groupes birationnels et groupes de pseudo-automorphismes.) Zbl 1475.14023
Cantat, Serge; de Cornulier, Yves
3
2019
Algebraic actions of discrete groups: the \(p\)-adic method. Zbl 1453.14042
Cantat, Serge; Xie, Junyi
3
2018
Automorphisms and dynamics: a list of open problems. Zbl 1441.14139
Cantat, Serge
2
2018
The Cremona group. Zbl 1451.14037
Cantat, Serge
2
2018
Dynamical degrees of birational transformations of projective surfaces. Zbl 1394.14011
Blanc, Jérémy; Cantat, Serge
23
2016
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups. Zbl 1386.14147
Cantat, Serge; Oguiso, Keiji
12
2015
Dynamics of automorphisms of compact complex surfaces. Zbl 1345.37001
Cantat, Serge
15
2014
Morphisms between Cremona groups and characterization of rational varieties. Zbl 1331.14020
Cantat, Serge
8
2014
Pseudo-automorphisms with no invariant foliation. Zbl 1333.37059
Bedford, Eric; Cantat, Serge; Kim, Kyounghee
4
2014
Normal subgroups in the Cremona group. Zbl 1278.14017
Cantat, Serge; Lamy, Stéphane; de Cornulier, Yves
35
2013
Constraints on automorphism groups of higher dimensional manifolds. Zbl 1322.14061
Bayraktar, Turgay; Cantat, Serge
6
2013
The Cremona group in two variables. Zbl 1364.14009
Cantat, Serge
6
2013
Rational surfaces with a large group of automorphisms. Zbl 1268.14011
Cantat, Serge; Dolgachev, Igor
19
2012
Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat. Zbl 1326.32038
Delzant, Thomas; Py, Pierre
12
2012
Holomorphic actions, Kummer examples, and Zimmer program. (Actions holomorphes, exemples de Kummer et programme de Zimmer.) Zbl 1280.22015
Cantat, Serge; Zeghib, Abdelghani
12
2012
On the groups of birational transformations of surfaces. (Sur les groupes de transformations birationnelles des surfaces.) Zbl 1233.14011
Cantat, Serge
34
2011
Invariant hypersurfaces in holomorphic dynamics. Zbl 1232.32006
Cantat, Serge
9
2010
Topics in polynomial dynamical systems: existence, examples, rigidity. (Quelques aspects des systèmes dynamiques polynomiaux existence, exemples, rigidité.) Zbl 1333.37019
Cantat, Serge
4
2010
Some aspects of polynomial dynamic systems. (Quelques aspects des systèmes dynamiques polynomiaux.) Zbl 1237.37007
Cantat, Serge; Chambert-Loir, Antoine; Guedj, Vincent
1
2010
\(p\)-adic dynamics (after the talks by Jean-Christophe Yoccoz). (Dynamique \(p\)-adique (d’après les exposés de Jean-Christophe Yoccoz).) Zbl 1267.37108
Cantat, Serge; Chambert-Loir, Antoine
1
2010
Bers and Hénon, Painlevé and Schrödinger. Zbl 1181.37068
Cantat, Serge
32
2009
Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation. Zbl 1204.34123
Cantat, Serge; Loray, Frank
18
2009
Birational permutations. Zbl 1175.14007
Cantat, Serge
1
2009
Analytic actions of mapping class groups on surfaces. Zbl 1219.57025
Cantat, Serge; Cerveau, Dominique
5
2008
Characterization of the Lattès and Kummer examples. (Caractérisation des exemples de Lattès et de Kummer.) Zbl 1156.37012
Cantat, Serge
4
2008
Groups of polynomial automorphisms of the plane. (Groupes d’automorphismes polynomiaux du plan.) Zbl 1115.14055
Cantat, Serge; Lamy, Stéphane
3
2006
Birational symmetries of foliated surfaces. (Symétries birationnelles des surfaces feuilletées.) Zbl 1070.32022
Cantat, Serge; Favre, Charles
17
2005
Central limit theorem for holomorphic endomorphisms and modular correspondences. (Théorème limite central pour les endomorphismes holomorphes et les correspondances modulaires.) Zbl 1094.37004
Cantat, Serge; Le Borgne, Stéphane
5
2005
Linearity of the exceptional set for maps of \(\mathbf P_k(\mathbb{C})\). Zbl 1056.32018
Briend, Jean-Yves; Cantat, Serge; Shishikura, Mitsuhiro
5
2004
A Kählerian version of a conjecture of Robert J. Zimmer. (Version Kählérienne d’une conjecture de Robert J. Zimmer.) Zbl 1072.22006
Cantat, Serge
3
2004
Endomorphisms of homogeneous manifolds. (Endomorphismes des variétés homogènes.) Zbl 1059.32003
Cantat, Serge
4
2003
Growth of unstable manifolds. (Croissance des variétés instables.) Zbl 1045.37023
Cantat, Serge
3
2003
Dynamics of automorphisms of \(K3\) surfaces. (Dynamique des automorphismes des surfaces \(K3\).) Zbl 1045.37007
Cantat, Serge
46
2001
On the dynamics of the automorphism group of \(K3\) surfaces. (Sur la dynamique du groupe d’automorphismes des surfaces \(K3\).) Zbl 1081.14513
Cantat, S.
8
2001
Two examples related on a conjecture of Serge Lang. (Deux exemples concernant une conjecture de Serge Lang.) Zbl 0957.32007
Cantat, Serge
1
2000
Dynamics of automorphisms of complex projective surfaces. (Dynamique des automorphismes des surfaces projectives complexes.) Zbl 0943.37021
Cantat, Serge
32
1999
Estimates for simple random walks of fundamental groups of surfaces. Zbl 0872.60051
Bartholdi, Laurent; Cantat, Serge; Ceccherini-Silberstein, Tullio; De la Harpe, Pierre
3
1997
all top 5

Cited by 245 Authors

20 Cantat, Serge
11 Damanik, David
11 Déserti, Julie
9 Gorodetskii, Anton Semenovich
8 Bedford, Eric
8 Tien Cuong Dinh
8 Zimmermann, Susanna
7 Kim, Kyounghee
7 Zhang, De-Qi
6 Blanc, Jérémy
6 Diller, Jeffrey
6 Favre, Charles
6 Lamy, Stéphane
6 Oguiso, Keiji
6 Urech, Christian
5 de Cornulier, Yves
5 Dolgachev, Igor’ Vladimirovich
5 Jonsson, Mattias
5 Sibony, Nessim
5 Truong Trung Tuyen
5 Yessen, William N.
4 Dujardin, Romain
4 Filip, Simion
4 Qu, Yanhui
4 Tosatti, Valentino
4 Uehara, Takato
3 Bayraktar, Turgay
3 Campana, Frédéric
3 Corrêa Barros, Maurício Jun.
3 de Thélin, Henry
3 Dupont, Christophe
3 Furter, Jean-Philippe
3 Iwasaki, Katsunori
3 Liu, Qinghui
3 Lonjou, Anne
3 Loray, Frank
3 McMullen, Curtis Tracy
3 Ribón, Javier
2 Amerik, Ekaterina Yu.
2 Arbarello, Enrico
2 Bell, Jason P.
2 Bisi, Cinzia
2 Boucksom, Sébastien
2 Brandhorst, Simon
2 Bruno, Andrea
2 Calabri, Alberto
2 Cerveau, Dominique
2 Dang, Nguyen-Bac
2 Diarra, Karamoko
2 Fillman, Jake
2 Guedj, Vincent
2 Hu, Fei
2 Kawaguchi, Shu
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Magee, Michael
2 Maza, Luis. G.
2 Mella, Massimiliano
2 Mendes, Luís Gustavo
2 Osin, Denis V.
2 Ouchi, Genki
2 Pereira, Jorge Vitório
2 Przytycki, Piotr
2 Py, Pierre
2 Ramadas, Rohini
2 Ramis, Jean-Pierre
2 Reschke, Paul
2 Roeder, Roland K. W.
2 Ruggiero, Matteo
2 Soares, Marcio G.
2 Tan, Ser Peow
2 Verbitsky, Misha
2 Xie, Junyi
1 Asgarli, Shamil
1 Autissier, Pascal
1 Baker, Matthew H.
1 Bandman, Tatiana M.
1 Bayart, Frédéric
1 Ben Hamed, Bassem
1 Benedetto, Robert L.
1 Benzerga, Mohamed
1 Bera, Sayani
1 Bertrand, Daniel
1 Bhargava, Manjul
1 Blasco, Ángel
1 Böhning, Christian
1 Bourgain, Jean
1 Bukhshtaber, Viktor Matveevich
1 Cano Cordero, Angel
1 Caprace, Pierre-Emmanuel
1 Casale, Guy
1 Cascini, Paolo
1 Cerbu, Alois
1 Ciliberto, Ciro
1 Collins, Tristan Clifford
1 Corti, Alessio
1 Coskun, Izzet
1 Coulon, Rémi
1 Cousin, Gaël
1 Cueto, María Angélica
1 Dabija, Marius
...and 145 more Authors
all top 5

Cited in 98 Serials

14 Mathematische Annalen
13 Annales de l’Institut Fourier
12 Mathematische Zeitschrift
11 Duke Mathematical Journal
8 Advances in Mathematics
7 Transactions of the American Mathematical Society
6 Inventiones Mathematicae
6 Journal für die Reine und Angewandte Mathematik
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Compositio Mathematica
5 The Journal of Geometric Analysis
5 Transformation Groups
5 Annales Henri Poincaré
5 Journal of Modern Dynamics
4 Communications in Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Journal of Pure and Applied Algebra
4 Michigan Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal de l’École Polytechnique – Mathématiques
4 Annales Henri Lebesgue
3 Journal of Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Commentarii Mathematici Helvetici
3 Memoirs of the American Mathematical Society
3 Proceedings of the American Mathematical Society
3 Journal of the American Mathematical Society
3 International Journal of Mathematics
3 Journal of Algebraic Geometry
3 Annals of Mathematics. Second Series
2 Israel Journal of Mathematics
2 Russian Mathematical Surveys
2 Journal of Geometry and Physics
2 Acta Mathematica
2 Geometriae Dedicata
2 Journal of Algebra
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Experimental Mathematics
2 Selecta Mathematica. New Series
2 Izvestiya: Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
2 Groups, Geometry, and Dynamics
2 Confluentes Mathematici
2 Bollettino dell’Unione Matematica Italiana
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 American Journal of Mathematics
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the Moscow Mathematical Society
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Publicacions Matemàtiques
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Conformal Geometry and Dynamics
1 Geometry & Topology
1 Journal of Group Theory
1 Journal of Dynamical and Control Systems
1 Moscow Mathematical Journal
1 Journal of Dynamical Systems and Geometric Theories
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Japanese Journal of Mathematics. 3rd Series
1 Journal of Singularities
1 Journal of Spectral Theory
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Complex Manifolds
all top 5

Cited in 39 Fields

152 Algebraic geometry (14-XX)
116 Dynamical systems and ergodic theory (37-XX)
80 Several complex variables and analytic spaces (32-XX)
41 Group theory and generalizations (20-XX)
25 Number theory (11-XX)
18 Quantum theory (81-XX)
17 Manifolds and cell complexes (57-XX)
13 Ordinary differential equations (34-XX)
11 Differential geometry (53-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Measure and integration (28-XX)
8 Topological groups, Lie groups (22-XX)
8 Operator theory (47-XX)
8 Probability theory and stochastic processes (60-XX)
7 Combinatorics (05-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Functions of a complex variable (30-XX)
6 Partial differential equations (35-XX)
4 Commutative algebra (13-XX)
4 Nonassociative rings and algebras (17-XX)
3 Field theory and polynomials (12-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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