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Dal'nevostochnyi Matematicheskii Zhurnal, 2008, Volume 8, Number 2, Pages 180–205 (Mi dvmg47)  
This article is cited in 1 scientific paper (total in 1 paper)

Remarks on the Dynamic of the Ruelle Operator and invariant differentials

P. M. Makienkoab

a Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
b Instituto de Matematicas, UNAM at Cuernavaca Av. de Universidad s/N.
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Abstract: Let $R$ be a rational map. We are interesting in the dynamic of the Ruelle operator of $R$ on suitable spaces of differential forms. In particular the necessary and sufficient conditions (in terms of convergence of sequences of measures) of existence of invariant measurable conformal structures on $J(R)$ are obtained.
Key words: Ruelle Operator, Julia set, quasiconformal deformation.
Received: 01.11.2008
Document Type: Article
UDC: 517.95
MSC: Primary 37F45; Secondary 37F30
Language: English
Citation: P. M. Makienko, “Remarks on the Dynamic of the Ruelle Operator and invariant differentials”, Dal'nevost. Mat. Zh., 8:2 (2008), 180–205
Citation in format AMSBIB
\Bibitem{Mak08}
\by P.~M.~Makienko
\paper Remarks on the Dynamic of the Ruelle Operator and invariant differentials
\jour Dal'nevost. Mat. Zh.
\yr 2008
\vol 8
\issue 2
\pages 180--205
\mathnet{http://mi.mathnet.ru/dvmg47}
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    • This publication is cited in the following 1 articles:
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