Remarks on the Dynamic of the Ruelle Operator and invariant differentials

Abstract

Let $R$ be a rational map. We are interesting in the dynamic of the Ruelle operator on suitable spaces of differentials. In particular the necessary and sufficient conditions (in terms of convergence of sequences of measures) of existence of invariant conformal structures on $J(R)$ are obtained.

References in corpus (3)

• Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality
• Infinitesimal perturbations of rational maps
• Remarks on Ruelle Operator and invariant line fields problem II