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the selected secondary limbs and a priori bounds).The main geometric ingredient which makes this work is the linear growth of the principal moduli (Theorem III).In the last section, w we discuss rigidity and deformations of real quasi-quadratic maps.In Appendix A we collect necessary background material in conformal and quasiconformal geometry.In Appendix B we make further reference comments.
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Mikhail Lyubich (1997) studied this question.
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