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math.DS2016
Dynamics of post-critically finite maps in higher dimension
Matthieu Astorg
We study the dynamics of post-critically finite endomorphisms of P^k(C). We prove that post-critically finite endomorphisms are always post-critically finite all the way down under…
math.DS2016
Summability Condition and Rigidity for Finite Type Maps
Matthieu Astorg
We extend a series of results due to Makienko, Dominguez and Sienra on the rigidity of some holomorphic dynamical systems with summable critical values to the setting of finite typ…