Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality

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dc.creatorEpstein, Adam
dc.date1999-02-26
dc.date.accessioned2026-07-07T05:28:02Z
dc.date.available2026-07-07T05:28:02Z
dc.descriptionWe 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.
dc.description12 pages, 1 PostScript figure
dc.identifierhttps://arxiv.org/abs/math/9902158
dc.identifierhttp://arxiv.org/abs/math/9902158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78154
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.titleInfinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality
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