2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62486Let 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 $c \in J(R)$.Dynamical SystemsRemarks on Ruelle Operator and invariant line fields problem IItext