SUMMABILITY CONDITION AND RIGIDITY FOR FINITE TYPE MAPS

Matthieu Astorg (1)

1 Department of Mathematics - University of Michigan

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.

Mots clés: Teichmüller theory; Holomorphic dynamics

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Matthieu Astorg. SUMMABILITY CONDITION AND RIGIDITY FOR FINITE TYPE MAPS. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.399-423. ⟨10.2422/2036-2145.201909_001⟩. ⟨hal-01275140⟩