1 citations · 3 across the 12 of their papers we have counts for
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Cubic Siegel polynomials and the bifurcation measure
Matthieu Astorg, Davoud Cheraghi, Arnaud Chéritat
We prove that cubic polynomial maps with a fixed Siegel disk and a critical orbit eventually landing inside that Siegel disk lie in the support of the bifurcation measure. This ans…
Bifurcation for families of Ahlfors island maps
Matthieu Astorg, Anna Miriam Benini, Nuria Fagella
We extend Mañé-Sad-Sullivan and Lyubich's equivalent characterization of stability to the setting of Ahlfors island maps, which include notably all meromorphic maps. As a consequen…
Horn maps of semi-parabolic Hénon maps
Astorg Matthieu, Bianchi Fabrizio
We prove that horn maps associated to quadratic semi-parabolic fixed points of Hénon maps, first introduced by Bedford, Smillie, and Ueda, satisfy a weak form of the Ahlfors island…