Remarks on the Dynamic of the Ruelle Operator and invariant differentials

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

2008-04-29

arxiv.org/abs/0804.4637v1

Mathematics

Dynamical Systems

Scientific paper

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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