a Department of Mathematics, Uppsala University, PO Box 480, 751-06 Uppsala, Sweden b Institute of Mathematics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland
Abstract:
A definition of a generalized filled-in Julia set generated by an infinite array of proper polynomial mappings in is introduced. It is shown that such Julia sets depend analytically on the defining polynomial mappings.