Gauthier, Thomas; Vigny, Gabriel The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane. (English) Zbl 1523.37104 Bull. Soc. Math. Fr. 150, No. 4, 677-698 (2022). MSC: 37P15 37P30 PDFBibTeX XMLCite \textit{T. Gauthier} and \textit{G. Vigny}, Bull. Soc. Math. Fr. 150, No. 4, 677--698 (2022; Zbl 1523.37104) Full Text: DOI arXiv
De Thélin, Henry; Gauthier, Thomas; Vigny, Gabriel Parametric Lyapunov exponents. (English) Zbl 1479.37043 Bull. Lond. Math. Soc. 53, No. 3, 660-672 (2021). MSC: 37F46 37F10 32U40 PDFBibTeX XMLCite \textit{H. De Thélin} et al., Bull. Lond. Math. Soc. 53, No. 3, 660--672 (2021; Zbl 1479.37043) Full Text: DOI arXiv
de Thélin, Henry; Vigny, Gabriel Entropy of meromorphic maps acting on analytic sets. (English) Zbl 1471.37019 Indiana Univ. Math. J. 70, No. 1, 157-178 (2021). MSC: 37B40 37F10 37F80 32Q15 32A20 32H04 PDFBibTeX XMLCite \textit{H. de Thélin} and \textit{G. Vigny}, Indiana Univ. Math. J. 70, No. 1, 157--178 (2021; Zbl 1471.37019) Full Text: DOI arXiv
De Thélin, Henry; Gauthier, Thomas; Vigny, Gabriel The bifurcation measure has maximal entropy. (English) Zbl 1437.37061 Isr. J. Math. 235, No. 1, 213-243 (2020). Reviewer: Feng Rong (Shanghai) MSC: 37F80 37F10 37F46 32U40 32H50 PDFBibTeX XMLCite \textit{H. De Thélin} et al., Isr. J. Math. 235, No. 1, 213--243 (2020; Zbl 1437.37061) Full Text: DOI arXiv
Gauthier, Thomas; Vigny, Gabriel Distribution of postcritically finite polynomials. II: Speed of convergence. (English) Zbl 1419.37040 J. Mod. Dyn. 11, 57-98 (2017). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 37F45 32U40 37F10 PDFBibTeX XMLCite \textit{T. Gauthier} and \textit{G. Vigny}, J. Mod. Dyn. 11, 57--98 (2017; Zbl 1419.37040) Full Text: DOI arXiv
Vigny, Gabriel Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\). (English) Zbl 1381.37007 Math. Ann. 362, No. 3-4, 1033-1054 (2015). Reviewer: John Lesieutre (Chicago) MSC: 37A25 37F10 14E07 PDFBibTeX XMLCite \textit{G. Vigny}, Math. Ann. 362, No. 3--4, 1033--1054 (2015; Zbl 1381.37007) Full Text: DOI arXiv
de Thélin, Henry; Vigny, Gabriel On the measures of large entropy on a positive closed current. (English) Zbl 1342.32021 Math. Z. 280, No. 3-4, 919-944 (2015). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32U40 37D25 37F10 PDFBibTeX XMLCite \textit{H. de Thélin} and \textit{G. Vigny}, Math. Z. 280, No. 3--4, 919--944 (2015; Zbl 1342.32021) Full Text: DOI arXiv
Vigny, Gabriel Hyperbolic measure of maximal entropy for generic rational maps of \(\mathbb P^k\). (Mesure hyperbolique d’entropie maximale pour les applications rationnelles génériques de \(\mathbb P^k\).) (English. French summary) Zbl 1328.37046 Ann. Inst. Fourier 64, No. 2, 645-680 (2014). Reviewer: Marco Abate (Pisa) MSC: 37F99 32H04 32U35 PDFBibTeX XMLCite \textit{G. Vigny}, Ann. Inst. Fourier 64, No. 2, 645--680 (2014; Zbl 1328.37046) Full Text: DOI arXiv