Non-linearizability of polynomials at irrationally indifferent fixed points


In this paper, we consider the non-linearizability of polynomials with irrationally indifferent fixed points. Under the assumption that there exists a cubic polynomial which is linearlizable at an irrationally indifferent fixed point with a non-Brjuno multiplier, we show that, for every degree more than two, one can construct a holomorphic family of polynomials of possible maximal dimension.

submission: April 21, 1998
revised: October 19, 1998

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