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On dynamics of vertices of locally connected polynomial Julia sets |
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| Authors: | A Blokh G Levin |
| Institution: | Department of Mathematics, University of Alabama in Birmingham, University Station, Birmingham, Alabama 35294-2060 ; Institute of Mathematics, Hebrew University, Givat Ram, 91904 Jerusalem, Israel |
| Abstract: | Let  be a polynomial whose Julia set  is locally connected. Then a non-preperiodic non-precritical vertex of  must have the limit set which coincides with the limit set of an appropriately chosen recurrent critical point of  . In particular, if all critical points of  are non-recurrent then all vertices of  are preperiodic or precritical. |
| Keywords: | Julia set vertices laminations recurrent critical points |
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