Non-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets

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dc.creatorMakienko, Peter
dc.date2005-06-08
dc.date.accessioned2026-07-07T05:20:36Z
dc.date.available2026-07-07T05:20:36Z
dc.descriptionLet $ R $ be a rational map with totally disconnected Julia set $ J(R). $ If the postcritical set on $ J(R) $ contains a non-persistently recurrent (or conical) point, then we show that the map $ R $ can not be a structurally stable map.
dc.identifierhttps://arxiv.org/abs/math/0506141
dc.identifierhttp://arxiv.org/abs/math/0506141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75432
dc.subjectDynamical Systems
dc.subject37F10 ;37F30
dc.titleNon-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets
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