Remarks on the Dynamic of the Ruelle Operator and invariant differentials

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Makienko, Peter M.
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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.
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Mathematics - Dynamical Systems
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