Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality

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We prove a refinement of the Fatou-Shishikura Inequality - that the total count of nonrepelling cycles of a rational map is less than or equal to the number of independent infinite forward critical orbits - from a suitable application of Thurston's Rigidity Theorem - the injectivity of $I-f_*$ on spaces of meromorphic quadratic differentials.
12 pages, 1 PostScript figure

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Dynamical Systems, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/78154

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902158
 http://arxiv.org/abs/math/9902158

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arXiv