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arXiv · 0804.4637

Remarks on the Dynamic of the Ruelle Operator and invariant differentials

Peter M. Makienko
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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.

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Peter M. Makienko. 2008-04-29. Remarks on the Dynamic of the Ruelle Operator and invariant differentials. https://arxiv.org/abs/0804.4637

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