Hiroyuki Inou 2006 Nonlinearity 19 1769 doi:10.1088/0951-7715/19/8/004
Hiroyuki Inou
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We give a criterion for closedness of combinatorial properties in the parameter space of polynomials having connected Julia set and apply it to the renormalizability of polynomials. Consequently, we give two sufficient conditions for the limit of a convergent sequence of renormalizable polynomials to be again renormalizable.
Issue 8 (August 2006)
Received 11 August 2005, in final form 13 June 2006
Published 7 July 2006
Hiroyuki Inou 2006 Nonlinearity 19 1769