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 PDF BibTeX XML Cite \textit{H. De Thélin} et al., Isr. J. Math. 235, No. 1, 213--243 (2020; Zbl 1437.37061) Full Text: DOI
Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel Collet, Eckmann and the bifurcation measure. (English) Zbl 07089444 Invent. Math. 217, No. 3, 749-797 (2019). MSC: 37F45 37F10 32G15 37P45 PDF BibTeX XML Cite \textit{M. Astorg} et al., Invent. Math. 217, No. 3, 749--797 (2019; Zbl 07089444) Full Text: DOI arXiv
Gauthier, Thomas; Okuyama, Yûsuke; Vigny, Gabriel Hyperbolic components of rational maps: quantitative equidistribution and counting. (English) Zbl 1431.37041 Comment. Math. Helv. 94, No. 2, 347-398 (2019). Reviewer: Tao Chen (New York) MSC: 37F12 37F46 32U40 37F15 PDF BibTeX XML Cite \textit{T. Gauthier} et al., Comment. Math. Helv. 94, No. 2, 347--398 (2019; Zbl 1431.37041) Full Text: DOI
Gauthier, Thomas; Vigny, Gabriel Distribution of postcritically finite polynomials. III: Combinatorial continuity. (English) Zbl 1432.37074 Fundam. Math. 244, No. 1, 17-48 (2019). Reviewer: Linda R. Sons (DeKalb) MSC: 37F20 30D40 37F46 PDF BibTeX XML Cite \textit{T. Gauthier} and \textit{G. Vigny}, Fundam. Math. 244, No. 1, 17--48 (2019; Zbl 1432.37074) Full Text: DOI
Favre, Charles; Gauthier, Thomas Continuity of the Green function in meromorphic families of polynomials. (English) Zbl 1401.37104 Algebra Number Theory 12, No. 6, 1471-1487 (2018). MSC: 37P30 37F45 37P45 PDF BibTeX XML Cite \textit{C. Favre} and \textit{T. Gauthier}, Algebra Number Theory 12, No. 6, 1471--1487 (2018; Zbl 1401.37104) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. Gauthier} and \textit{G. Vigny}, J. Mod. Dyn. 11, 57--98 (2017; Zbl 1419.37040) Full Text: DOI
Gauthier, Thomas; Vigny, Gabriel Distribution of points with prescribed derivative in polynomial dynamics. (English) Zbl 1403.37051 Riv. Mat. Univ. Parma (N.S.) 8, No. 2, 247-270 (2017). Reviewer: Alexandr Yu. Rashkovsky (Stavanger) MSC: 37F10 37F45 32U40 PDF BibTeX XML Cite \textit{T. Gauthier} and \textit{G. Vigny}, Riv. Mat. Univ. Parma (N.S.) 8, No. 2, 247--270 (2017; Zbl 1403.37051) Full Text: arXiv
Gauthier, Thomas Equidistribution towards the bifurcation current. I: Multipliers and degree \(d\) polynomials. (English) Zbl 1380.37098 Math. Ann. 366, No. 1-2, 1-30 (2016). Reviewer: Marco Abate (Pisa) MSC: 37F45 32U40 32H50 PDF BibTeX XML Cite \textit{T. Gauthier}, Math. Ann. 366, No. 1--2, 1--30 (2016; Zbl 1380.37098) Full Text: DOI
Favre, C.; Gauthier, T. Distribution of postcritically finite polynomials. (English) Zbl 1352.37202 Isr. J. Math. 209, Part 1, 235-292 (2015). MSC: 37P05 11K55 37P30 PDF BibTeX XML Cite \textit{C. Favre} and \textit{T. Gauthier}, Isr. J. Math. 209, Part 1, 235--292 (2015; Zbl 1352.37202) Full Text: DOI
Berteloot, François; Gauthier, Thomas On the geometry of bifurcation currents for quadratic rational maps. (English) Zbl 1339.37035 Ergodic Theory Dyn. Syst. 35, No. 5, 1369-1379 (2015). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 37F45 37F50 37P45 PDF BibTeX XML Cite \textit{F. Berteloot} and \textit{T. Gauthier}, Ergodic Theory Dyn. Syst. 35, No. 5, 1369--1379 (2015; Zbl 1339.37035) Full Text: DOI arXiv
Buff, Xavier; Gauthier, Thomas Quadratic polynomials, multipliers and equidistribution. (English) Zbl 1334.37038 Proc. Am. Math. Soc. 143, No. 7, 3011-3017 (2015). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{X. Buff} and \textit{T. Gauthier}, Proc. Am. Math. Soc. 143, No. 7, 3011--3017 (2015; Zbl 1334.37038) Full Text: DOI
Gauthier, Thomas Higher bifurcation currents, neutral cycles and the Mandelbrot set. (English) Zbl 1325.37027 Indiana Univ. Math. J. 63, No. 4, 917-937 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37F45 32U15 28A78 PDF BibTeX XML Cite \textit{T. Gauthier}, Indiana Univ. Math. J. 63, No. 4, 917--937 (2014; Zbl 1325.37027) Full Text: DOI Link
Buff, Xavier; Gauthier, Thomas Perturbations of flexible Lattès maps. (Perturbations des exemples de Lattès flexibles.) (English. French summary) Zbl 1326.37035 Bull. Soc. Math. Fr. 141, No. 4, 603-614 (2013). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 37F45 37D05 PDF BibTeX XML Cite \textit{X. Buff} and \textit{T. Gauthier}, Bull. Soc. Math. Fr. 141, No. 4, 603--614 (2013; Zbl 1326.37035) Full Text: DOI Link
Gauthier, Thomas Strong bifurcation loci of full Hausdorff dimension. (Lieux de bifurcation maximale de dimension de Hausdorff totale.) (English. French summary) Zbl 1326.37036 Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 947-984 (2012). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 37F45 32U15 28A78 PDF BibTeX XML Cite \textit{T. Gauthier}, Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 947--984 (2012; Zbl 1326.37036) Full Text: DOI Link arXiv