Yusuke OKUYAMA
Non-linearizability of polynomials at irrationally indifferent fixed points
Abstract
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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