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Gabriel Vigny

Entropy of meromorphic maps and dynamics of birational maps
2010 · Henry De Thélin, Gabriel Vigny · Mémoires de la Société mathématique de France · 31
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The geometric dynamical Northcott and Bogomolov properties
2025 · Thomas GAUTHIER, Gabriel VIGNY · Annales Scientifiques de l École Normale Supérieure · 27
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Dirichlet-like space and capacity in complex analysis in several variables
2007 · G. Vigny · Journal of Functional Analysis · 20
Sparsity of postcritically finite maps of ℙ k and beyond: A complex analytic approach
2026 · Thomas Gauthier, Johan Taflin, et al. · Publications mathématiques de l IHÉS · 17
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Collet, Eckmann and the bifurcation measure
2019 · Matthieu Astorg, Thomas Gauthier, et al. · Inventiones mathematicae · 14
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Hyperbolic components of rational maps: Quantitative equidistribution and counting
2019 · Thomas Gauthier, Yûsuke Okuyama, et al. · Commentarii Mathematici Helvetici · 13
Distribution of postcritically finite polynomials III: Combinatorial continuity
2018 · Thomas Gauthier, Gabriel Vigny · Fundamenta Mathematicae · 11
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Distribution of postcritically finite polynomials Ⅱ: Speed of convergence
2017 · Thomas Gauthier, ,LAMFA, Universitè de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens Cedex 1, France, et al. · Journal of Modern Dynamics · 10
Exponential decay of correlations for generic regular birational maps of $$\mathbb {P}^k$$ P k
2014 · Gabriel Vigny · Mathematische Annalen · 10
On the measures of large entropy on a positive closed current
2015 · Henry de Thélin, Gabriel Vigny · Mathematische Zeitschrift · 8
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Lelong-Skoda Transform for Compact Kähler Manifolds and Self-Intersection Inequalities
2009 · Gabriel Vigny · Journal of Geometric Analysis · 8
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Dynamics semi-conjugated to a subshift for some polynomial mapppings in $\mathbb{C}^2$
2007 · G. Vigny · Publicacions Matemàtiques · 7
Value distribution of derivatives in polynomial dynamics
2021 · YÛSUKE OKUYAMA, GABRIEL VIGNY · Ergodic Theory and Dynamical Systems · 6
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Parametric Lyapunov exponents
2020 · Henry De Thélin, Thomas Gauthier, et al. · Bulletin of the London Mathematical Society · 6
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Approximation of non-archimedean Lyapunov exponents and applications over global fields
2020 · Thomas Gauthier, Yûsuke Okuyama, et al. · Transactions of the American Mathematical Society · 6
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Distribution of points with prescribed derivative in polynomial dynamics
2016 · Gauthier, Thomas, Vigny, Gabriel · arXiv (Cornell University) · 6
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Hyperbolic measure of maximal entropy for generic rational maps of ℙ k
2014 · Gabriel Vigny · Annales de l’institut Fourier · 6
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Lebesgue points of functions in the complex Sobolev space
2024 · Gabriel Vigny, Duc-Viet Vu · International Journal of Mathematics · 4
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Exponential mixing of all orders and CLT for generic birational maps of $\mathbb{P}^k$
2024 · De Thélin, Henry, Vigny, Gabriel · HAL · 4
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Distribution of postcritically finite polynomials II: Speed of convergence
2015 · Gauthier, Thomas, Vigny, Gabriel · arXiv (Cornell University) · 4
Rigidity of the Julia set for Hénon-Sibony maps
2026 · Vigny, Gabriel · arXiv (Cornell University) · 3
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Hyperbolic components of rational maps: Quantitative equidistribution and counting
2017 · Gauthier, Thomas, Okuyama, Yûsuke, et al. · arXiv (Cornell University) · 3
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Quantitative equidistribution of periodic points for rational maps
2025 · Gauthier, Thomas, Vigny, Gabriel · arXiv (Cornell University) · 2
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Entropy of meromorphic maps acting on analytic sets
2021 · Henry De Thelin, Gabriel Vigny · Indiana University Mathematics Journal · 2
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The bifurcation measure has maximal entropy
2019 · Henry De Thélin, Thomas Gauthier, et al. · Israel Journal of Mathematics · 2
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Works count: 39
Citation count: 234
H-index: 9
I10-index: 9
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