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Proceedings of the London Mathematical Society 2005 91(1):215-248; doi:10.1112/S0024611505015248
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© London Mathematical Society

Combinatorial Continuity in Complex Polynomial Dynamics

Jan Kiwi

Facultad de Matemáticas, Pontificia Universidad Catolica Casilla 306, Correo 22, Santiago, Chile. E-mail: jkiwi{at}puc.cl

Received 10 December 2003. Revision received 9 November 2004.

We describe how polynomials with all cycles repelling and connected Julia set are organized in the boundary of the shift loci according to their real laminations. 2000 Mathematics Subject Classification 37F20, 37F45.

Key Words: shift locus • connectedness locus • critical portraits

Research supported by ‘Proyecto Fondecyt #1020711’.


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