Serge Cantat

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All published works

Action	Title	Year	Authors
+ PDF Chat	Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps	2025	Ekaterina Amerik Serge Cantat
+	PARABOLIC AUTOMORPHISMS OF HYPERKÄHLER MANIFOLDS: ORBITS AND BETTI MAPS	2025	Ekaterina Amerik Serge Cantat
+	Le théorème de Skolem, Mahler et Lech	2024	Serge Cantat
+	Some rigidity results for polynomial automorphisms of C^2	2024	Serge Cantat Romain Dujardin
+	Orbits of automorphism groups of affine surfaces over $p$-adic fields	2024	Serge Cantat Seung uk Jang
+	Holomorphically conjugate polynomial automorphisms of C2$\mathbb {C}^2$ are polynomially conjugate	2024	Serge Cantat Romain Dujardin
+ PDF Chat	Dynamics on Markov surfaces: classification of stationary measures	2024	Serge Cantat Christophe Dupont Florestan Martin-Baillon
+ PDF Chat	Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate	2024	Serge Cantat Romain Dujardin
+	Gaps in dynamical degrees for endomorphisms and rational maps	2024	Serge Cantat
+	Finite orbits for large groups of automorphisms of projective surfaces	2023	Serge Cantat Romain Dujardin
+ PDF Chat	Random dynamics on real and complex projective surfaces	2023	Serge Cantat Romain Dujardin
+ PDF Chat	Families of commuting automorphisms, and a characterization of the affine space	2023	Serge Cantat Andriy Regeta Junyi Xie
+	Invariant Measures for Large Automorphism Groups of Projective Surfaces	2023	Serge Cantat Romain Dujardin
+	Dynamics of automorphism groups of projective surfaces: classification, examples and outlook	2023	Serge Cantat Romain Dujardin
+ PDF Chat	Free actions of large groups on complex threefolds	2022	Serge Cantat Olga Paris‐Romaskevich Junyi Xie
+	Hyperbolicity for large automorphism groups of projective surfaces	2022	Serge Cantat Romain Dujardin
+ PDF Chat	Random dynamics on real and complex projective surfaces	2021	Serge Cantat Romain Dujardin
+ PDF Chat	Three chapters on Cremona groups	2021	Serge Cantat Julie Déserti Junyi Xie
+ PDF Chat	Endomorphisms and bijections of the character variety <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>χ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="bold">F</mml:mi> <mml:mn>2</mml:mn> </mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="sans-serif">SL</mml:mi> <mml:mn>2</mml:mn> </mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">C</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>	2020	Serge Cantat
+ PDF Chat	The geometric Bogomolov conjecture	2020	Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie
+ PDF Chat	Surface groups in the group of germs of analytic diffeomorphisms in one variable	2020	Serge Cantat Dominique Cerveau Vincent Guirardel Juan Souto
+ PDF Chat	Automorphisms of compact Kähler manifolds with slow dynamics	2020	Serge Cantat Olga Paris‐Romaskevich
+ PDF Chat	Elements Generating a Proper Normal Subgroup of the Cremona Group	2020	Serge Cantat Vincent Guirardel Anne Lonjou
+	Automorphisms of compact K\"ahler manifolds with slow dynamics.	2020	Serge Cantat Olga Paris‐Romaskevich
+ PDF Chat	Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy	2020	Serge Cantat Christophe Dupont
+	Birational conjugacies between endomorphisms on the projective plane	2020	Julie Déserti Serge Cantat Junyi Xie
+ PDF Chat	On degrees of birational mappings	2020	Serge Cantat Junyi Xie
+	Three chapters on Cremona groups	2020	Serge Cantat Julie Déserti Junyi Xie
+	Finite orbits and canonical heights for large groups of automorphisms.	2020	Serge Cantat
+	Automorphisms of compact Kähler manifolds with slow dynamics	2020	Serge Cantat Olga Paris‐Romaskevich
+ PDF Chat	The geometric Bogomolov conjecture	2019	Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie
+ PDF Chat	Commensurating actions of birational groups and groups of pseudo-automorphisms	2019	Serge Cantat Yves Cornulier
+ PDF Chat	AUTOMORPHISMS AND DYNAMICS: A LIST OF OPEN PROBLEMS	2019	Serge Cantat
+	Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable	2019	Serge Cantat Dominique Cerveau Vincent Guirardel Juan Souto
+ PDF Chat	Distortion in Cremona groups	2018	Serge Cantat Yves de Cornulier
+ PDF Chat	The Cremona group	2018	Serge Cantat
+	The Cremona group	2018	Serge Cantat
+	On degrees of birational mappings	2018	Serge Cantat Junyi Xie
+ PDF Chat	Algebraic actions of discrete groups: the $p$-adic method	2018	Serge Cantat Junyi Xie
+ PDF Chat	Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups	2015	Serge Cantat Keiji Oguiso
+	Dynamical degrees of birational transformations of projective surfaces	2015	Jérémy Blanc Serge Cantat
+	Dynamics of automorphisms of compact complex surfaces	2014	Serge Cantat
+	Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy	2014	Serge Cantat Christophe Dupont
+ PDF Chat	Morphisms between Cremona groups, and characterization of rational varieties	2014	Serge Cantat
+	Dynamics of automorphisms of compact complex surfaces	2014	Serge Cantat
+	Dynamics of automorphisms of compact complex surfaces (a survey)	2014	Serge Cantat
+	Pseudo-automorphisms with no invariant foliation	2014	Eric Bedford Serge Cantat Kyounghee Kim
+	Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy	2014	Serge Cantat Christophe Dupont
+	The Cremona group in two variables	2013	Serge Cantat
+	Corrigendum to “Constraints on automorphism groups of higher dimensional manifolds” [J. Math. Anal. Appl. 405 (2013) 209–213]	2013	Turgay Bayraktar Serge Cantat
+	Constraints on automorphism groups of higher dimensional manifolds	2013	Turgay Bayraktar Serge Cantat
+ PDF Chat	Normal subgroups in the Cremona group	2013	Serge Cantat Stéphane Lamy Yves Cornulier
+	Pseudo-automorphisms with no invariant foliation	2013	Eric Bedford Serge Cantat Kyounghee Kim
+	Constraints on automorphism groups of higher dimensional manifolds	2012	Turgay Bayraktar Serge Cantat
+ PDF Chat	Rational surfaces with a large group of automorphisms	2012	Serge Cantat Igor V. Dolgachev
+ PDF Chat	Holomorphic actions, Kummer examples, and Zimmer program	2012	Serge Cantat Abdelghani Zeghib
+	Constraints on automorphism groups of higher dimensional manifolds	2012	Turgay Bayraktar Serge Cantat
+	Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups	2011	Serge Cantat Keiji Oguiso
+ PDF Chat	Sur les groupes de transformations birationnelles des surfaces	2011	Serge Cantat
+	Rational surfaces with a large group of automorphisms	2011	Serge Cantat Igor V. Dolgachev
+	Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups	2011	Serge Cantat Keiji Oguiso
+	Rational surfaces with a large group of automorphisms	2011	Serge Cantat Igor V. Dolgachev
+	Normal subgroups in the Cremona group	2010	Serge Cantat Stéphane Lamy
+ PDF Chat	Invariant Hypersurfaces in holomorphic Dynamics	2010	Serge Cantat
+	Quelques aspects des systèmes dynamiques polynomiaux: existence, exemples, rigidité.	2010	Serge Cantat
+	Quelques aspects des systèmes dynamiques polynomiaux	2010	Serge Cantat Antoine Chambert-Loir Vincent Guedj
+ PDF Chat	Birational permutations	2009	Serge Cantat
+ PDF Chat	Bers and Hénon, Painlevé and Schrödinger	2009	Serge Cantat
+	Dynamique p-adique (d'après des exposés de Jean-Christophe Yoccoz)	2009	Serge Cantat Antoine Chambert-Loir
+	Holomorphic actions of higher rank lattices in dimension three	2009	Serge Cantat Abdelghani Zeghib
+ PDF Chat	Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation	2009	Serge Cantat Frank Loray
+ PDF Chat	Bers and Hénon, Painlevé and Schroedinger	2009	Serge Cantat
+ PDF Chat	Bers and Hénon, Painlevé and Schroedinger	2009	Serge Cantat
+ PDF Chat	Analytic actions of mapping class groups on surfaces	2008	Serge Cantat Dominique Cerveau
+ PDF Chat	Caractérisation des exemples de Lattès et de Kummer	2008	Serge Cantat
+	Dynamics on character varieties (Complex Dynamics and Related Topics)	2008	Serge Cantat
+	Holomorphic dynamics, Painlevé VI equation and Character Varieties	2007	Serge Cantat Frank Loray
+	Groupes d’automorphismes polynomiaux du plan	2006	Serge Cantat Stéphane Lamy
+	Estimates for simple random walks on fundamental groups of surfaces	2006	Laurent Bartholdi Serge Cantat Tullio Ceccherini‐Silberstein Pierre de la Harpe
+	Symétries birationnelles des surfaces feuilletées	2005	Serge Cantat Charles Favre
+	None	2005	Serge Cantat Stéphane Le Borgne
+ PDF Chat	Diff�omorphismes holomorphes Anosov	2004	Serge Cantat
+ PDF Chat	Version kählérienne d'une conjecture de Robert J. Zimmer	2004	Serge Cantat
+	Linearity of the exceptional set for maps of P k (C)	2004	Jean-Yves Briend Serge Cantat Mitsuhiro Shishikura
+	Croissance des varits instables	2003	Serge Cantat
+ PDF Chat	Symétries birationnelles des surfaces feuilletÉes	2003	Serge Cantat C. Favre
+	Symetries birationnelles des surfaces feuilletees	2002	Serge Cantat C. Favre
+	Sur la dynamique du groupe d'automorphismes des surfaces K3	2001	Serge Cantat
+ PDF Chat	Dynamique des automorphismes des surfaces K3	2001	Serge Cantat
+	Deux exemples concernant une conjecture de Serge Lang	2000	Serge Cantat
+	Dynamique des automorphismes des surfaces projectives complexes	1999	Serge Cantat
+ PDF Chat	Estimates for simple random walks on fundamental groups of surfaces	1997	Laurent Bartholdi Serge Cantat Tullio Ceccherini‐Silberstein Pierre de la Harpe

Common Coauthors

Coauthor	Papers Together
Junyi Xie	10
Romain Dujardin	9
Christophe Dupont	4
Turgay Bayraktar	4
Olga Paris‐Romaskevich	4
Stéphane Lamy	3
Julie Déserti	3
Keiji Oguiso	3
Igor V. Dolgachev	3
Vincent Guirardel	3
Dominique Cerveau	3
Yves de Cornulier	3
Laurent Bartholdi	2
Tullio Ceccherini‐Silberstein	2
Pierre de la Harpe	2
Frank Loray	2
Antoine Chambert-Loir	2
Abdelghani Zeghib	2
Philipp Habegger	2
Kyounghee Kim	2
Ekaterina Amerik	2
Eric Bedford	2
Ziyang Gao	2
C. Favre	2
Juan Souto	2
Charles Favre	1
Vincent Guedj	1
Mitsuhiro Shishikura	1
Seung uk Jang	1
Anne Lonjou	1
Andriy Regeta	1
Stéphane Le Borgne	1
Jérémy Blanc	1
Florestan Martin-Baillon	1
Jean-Yves Briend	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Dynamique des automorphismes des surfaces K3	2001	Serge Cantat	24
+ PDF Chat	Dynamics of bimeromorphic maps of surfaces	2001	Jeffrey Diller C. Favre	21
+	Sur la dynamique du groupe d'automorphismes des surfaces K3	2001	Serge Cantat	19
+ PDF Chat	Laminar currents and birational dynamics	2006	Romain Dujardin	17
+ PDF Chat	Symétries birationnelles des surfaces feuilletÉes	2003	Serge Cantat C. Favre	15
+ PDF Chat	Rational surfaces with a large group of automorphisms	2012	Serge Cantat Igor V. Dolgachev	15
+ PDF Chat	Polynomial diffeomorphisms ofC 2. IV: The measure of maximal entropy and laminar currents	1993	Eric Bedford Mikhail Lyubich John Smillie	14
+	RATIONAL<i>G</i>-SURFACES	1981	M H Gizatullin	14
+ PDF Chat	Sur les groupes de transformations birationnelles des surfaces	2011	Serge Cantat	13
+	Volume growth and entropy	1987	Yosef Yomdin	12
+	Compactness of the Chow scheme: Applications to automorphisms and deformations of Kahler manifolds	1978	David I. Lieberman	12
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	12
+ PDF Chat	Energy and invariant measures for birational surface maps	2005	Eric Bedford Jeffrey Diller	12
+	Dynamique des automorphismes des surfaces projectives complexes	1999	Serge Cantat	10
+	Dynamics of automorphisms of compact complex surfaces	2014	Serge Cantat	9
+ PDF Chat	On the inertia group of elliptic curves in the Cremona group of the plane	2008	Jérémy Blanc	9
+	Dynamical degrees of birational transformations of projective surfaces	2015	Jérémy Blanc Serge Cantat	9
+	Propriétés ergodiques des applications rationnelles	2006	Vincent Guedj	9
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	8
+ PDF Chat	Une borne supérieure pour l’entropie topologique d’une application rationnelle	2005	Tien‐Cuong Dinh Nessim Sibony	8
+	Invariant curves for birational surface maps	2007	Jeffrey Diller Daniel Jackson Andrew Sommese	8
+ PDF Chat	Distribution of periodic points of polynomial diffeomorphisms of C2	1993	Eric Bedford Mikhail Lyubich John Smillie	7
+ PDF Chat	Dynamics on K3 surfaces: Salem numbers and Siegel disks	2002	Curtis T. McMullen	7
+	Automorphisms of Enriques surfaces	1983	Wolf Barth Chris Peters	7
+	Compact Complex Surfaces	1984	Wolf Barth Chris Peters A. Van de Ven	7
+ PDF Chat	Remarks on the degree growth of birational transformations	2018	Christian Urech	7
+ PDF Chat	On rational surfaces, II	1960	Masayoshi Nagata	7
+	K3-surfaces with Picard number 2	1988	Joachim Wehler	6
+ PDF Chat	Lyapunov exponents, entropy and periodic orbits for diffeomorphisms	1980	A. Katok	6
+ PDF Chat	Degree growth of meromorphic surface maps	2008	Sébastien Boucksom Charles Favre Mattias Jönsson	6
+ PDF Chat	Degrees of iterates of rational maps on normal projective varieties	2020	Nguyen-Bac Dang	6
+	Discrete Subgroups of Semisimple Lie Groups	1991	Gregori Aleksandrovitch Margulis	6
+	Holomorphic Anosov systems	1995	�tienne Ghys	6
+	Groupe de Cremona et dynamique complexe: Une approche de la conjecture de Zimmer	2006	Julie Déserti	6
+	Dynamics of automorphisms of compact complex surfaces	2014	Serge Cantat	6
+ PDF Chat	Le groupe de Cremona et ses sous-groupes de type fini	2009	Charles Favre	6
+	Automorphisms of groups and of schemes of finite type	1983	Hyman Bass Alexander Lubotzky	6
+ PDF Chat	Dynamical properties of plane polynomial automorphisms	1989	Shmuel Friedland John Milnor	6
+ PDF Chat	Degree growth of birational maps of the plane	2015	Julie Déserti Jérémy Blanc	6
+	Lectures on Hyperbolic Geometry	1992	Riccardo Benedetti Carlo Petronio	5
+ PDF Chat	Projective Surface Automorphisms of Positive Topological Entropy from an Arithmetic Viewpoint	2008	Shu Kawaguchi	5
+ PDF Chat	Morphisms between Cremona groups, and characterization of rational varieties	2014	Serge Cantat	5
+ PDF Chat	Continuous families of rational surface automorphisms with positive entropy	2010	Eric Bedford Kyounghee Kim	5
+ PDF Chat	Holomorphic actions, Kummer examples, and Zimmer program	2012	Serge Cantat Abdelghani Zeghib	5
+ PDF Chat	Periodicities in linear fractional recurrences: Degree growth of birational surface maps	2006	Eric Bedford Kyounghee Kim	5
+ PDF Chat	Sur les automorphismes du groupe de Cremona	2006	Julie Déserti	5
+	Rational points on K3 surfaces: A new canonical height	1991	Joseph H. Silverman	5
+ PDF Chat	Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups	2015	Serge Cantat Keiji Oguiso	5
+	Introduction to Complex Hyperbolic Spaces	1987	Serge Lang	5
+ PDF Chat	Periodic points of birational transformations on projective surfaces	2015	Junyi Xie	5