# zbMATH — the first resource for mathematics

## Vigny, Gabriel

Compute Distance To:
 Author ID: vigny.gabriel Published as: Vigny, G.; Vigny, Gabriel External Links: MGP · Wikidata
 Documents Indexed: 13 Publications since 2007

#### Co-Authors

 5 single-authored 6 Gauthier, Thomas 3 de Thélin, Henry 1 Astorg, Matthieu 1 Mihalache-Ciurdea, Nicolae 1 Okuyama, Yûsuke
all top 5

#### Serials

 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Modern Dynamics 1 Rivista di Matematica della Università di Parma. New Series
all top 5

#### Fields

 11 Several complex variables and analytic spaces (32-XX) 11 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

11 Publications have been cited 39 times in 26 Documents Cited by Year
Entropy of meromorphic maps and dynamics of birational maps. Zbl 1214.37004
de Thélin, Henry; Vigny, Gabriel
2010
Dynamics semi-conjugated to a subshift for some polynomial mappings in $$\mathbb C^2$$. Zbl 1125.37035
Vigny, Gabriel
2007
Dirichlet-like space and capacity in complex analysis in several variables. Zbl 1130.32017
Vigny, G.
2007
Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities. Zbl 1173.32014
Vigny, Gabriel
2009
Hyperbolic components of rational maps: quantitative equidistribution and counting. Zbl 1431.37041
Gauthier, Thomas; Okuyama, Yûsuke; Vigny, Gabriel
2019
Distribution of postcritically finite polynomials. III: Combinatorial continuity. Zbl 1432.37074
Gauthier, Thomas; Vigny, Gabriel
2019
Distribution of postcritically finite polynomials. II: Speed of convergence. Zbl 1419.37040
Gauthier, Thomas; Vigny, Gabriel
2017
On the measures of large entropy on a positive closed current. Zbl 1342.32021
de Thélin, Henry; Vigny, Gabriel
2015
Collet, Eckmann and the bifurcation measure. Zbl 07089444
Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel
2019
Exponential decay of correlations for generic regular birational maps of $$\mathbb P^k$$. Zbl 1381.37007
Vigny, Gabriel
2015
Hyperbolic measure of maximal entropy for generic rational maps of $$\mathbb P^k$$. Zbl 1328.37046
Vigny, Gabriel
2014
Hyperbolic components of rational maps: quantitative equidistribution and counting. Zbl 1431.37041
Gauthier, Thomas; Okuyama, Yûsuke; Vigny, Gabriel
2019
Distribution of postcritically finite polynomials. III: Combinatorial continuity. Zbl 1432.37074
Gauthier, Thomas; Vigny, Gabriel
2019
Collet, Eckmann and the bifurcation measure. Zbl 07089444
Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel
2019
Distribution of postcritically finite polynomials. II: Speed of convergence. Zbl 1419.37040
Gauthier, Thomas; Vigny, Gabriel
2017
On the measures of large entropy on a positive closed current. Zbl 1342.32021
de Thélin, Henry; Vigny, Gabriel
2015
Exponential decay of correlations for generic regular birational maps of $$\mathbb P^k$$. Zbl 1381.37007
Vigny, Gabriel
2015
Hyperbolic measure of maximal entropy for generic rational maps of $$\mathbb P^k$$. Zbl 1328.37046
Vigny, Gabriel
2014
Entropy of meromorphic maps and dynamics of birational maps. Zbl 1214.37004
de Thélin, Henry; Vigny, Gabriel
2010
Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities. Zbl 1173.32014
Vigny, Gabriel
2009
Dynamics semi-conjugated to a subshift for some polynomial mappings in $$\mathbb C^2$$. Zbl 1125.37035
Vigny, Gabriel
2007
Dirichlet-like space and capacity in complex analysis in several variables. Zbl 1130.32017
Vigny, G.
2007
all top 5

#### Cited by 24 Authors

 6 Tien Cuong Dinh 6 Vigny, Gabriel 4 Sibony, Nessim 3 de Thélin, Henry 3 Favre, Charles 3 Gauthier, Thomas 3 Jonsson, Mattias 2 Dupont, Christophe 2 Truong Trung Tuyen 1 Berteloot, François 1 Coman, Dan 1 Diller, Jeffrey 1 Ghiloufi, Noureddine 1 Kaufmann, Lucas 1 Liu, Han 1 Okuyama, Yûsuke 1 Parra, Rodrigo 1 Reschke, Paul 1 Roeder, Roland K. W. 1 Rogue, Axel 1 Nguyên Viêt Anh 1 Vu, Duc-Viet 1 Wu, Hao 1 Yomdin, Yosef
all top 5

#### Cited in 21 Serials

 3 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Journal of Algebraic Geometry 2 Journal of Modern Dynamics 1 Israel Journal of Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Ergodic Theory and Dynamical Systems 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bulletin des Sciences Mathématiques 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu
all top 5

#### Cited in 10 Fields

 24 Several complex variables and analytic spaces (32-XX) 22 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.