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

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

2005-06-08

arxiv.org/abs/math/0506141v1

Mathematics

Dynamical Systems

Scientific paper

Let $ 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.

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