Summability Condition and Rigidity for Finite Type Maps
  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 type maps. We also recover a shorter proof of a transversality theorem of Levin. Our methods are based on the deformation theory introduced by Epstein. 
Matthieu Astorg
math.DS math.CV