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math.DS2014
A two-dimensional polynomial mapping with a wandering Fatou component
Matthieu Astorg, Xavier Buff, Romain Dujardin +2
We show that there exist polynomial endomorphisms of C^2, possessing a wandering Fatou component. These mappings are polynomial skew-products, and can be chosen to extend holomorph…
math.DS2014★ 1 cited
On the dynamical Teichmüller space
Matthieu Astorg
We prove that the dynamical Teichmüller space of a rational map immerses into the space of rational maps of the same degree, answering a question of McMullen and Sullivan. This is…