Remarks on the Dynamic of the Ruelle Operator and invariant differentials

2008/04/29 by Peter Makienko, Peter M. Makienko, Makienko, Peter M.
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories #math.DS

paper · pdf · doi:10.48550/arxiv.0804.4637

arxiv created 2008/04/29 · openalex publication_date 2008/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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