Remarks on Ruelle Operator and invariant line fields problem II

Details Remarks on Ruelle Operator and invariant line fields problem II Remarks on Ruelle Operator and invariant line fields problem II

2001-10-25

arxiv.org/abs/math/0110272v1

Mathematics

Dynamical Systems

Scientific paper

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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