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Remarks on Ruelle Operator and invariant line fields problem II

Peter M. Makienko
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Abstract

Let R be rational map. Critical point c is called summable if series $\sum_i\frac{1}{(R^i)'(R(c))}$ is absolutely convergent. Under some topological condition on postcritical set we prove that R can not be structurally stable if summable critical point $c \in J(R)$.

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Peter M. Makienko. 2001-10-25. Remarks on Ruelle Operator and invariant line fields problem II. https://arxiv.org/abs/math/0110272

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