## Remarks on the Dynamic of the Ruelle Operator and invariant differentials

##### Authors
Makienko, Peter M.
##### Description
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.
##### Keywords
Mathematics - Dynamical Systems