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Remarks on Ruelle Operator and invariant line fields problem II

Peter M. Makienko

math.DSarXiv:math/0110272

Abstract

Let R be rational map. Critical point c is called summable if series Σi1(Ri)'(R(c)) is absolutely convergent. Under some topological condition on postcritical set we prove that R can not be structurally stable if summable critical point c ∈ J(R).

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