Remarks on Ruelle operator and Invariant Line Field Problem

2001/10/09 by Peter M. Makienko, Makienko, Peter M.
Mathematics · #37F30 #37F45 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37F30 #msc:37F45

paper · pdf · doi:10.48550/arxiv.math/0110093

arxiv created 2001/10/09 · arxiv updated 2009/11/30

Abstract

In case of Lebesgue measure zero of postcritical set 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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