一类简单映射的类GARCH模型
Ghys-like models providing trick for a class of simple maps
摘要：
对于具有有界型旋转数的中立不动点的二次多项式（它们有一个西格尔圆盘），关于它们的朱利亚集的大部分已知都来自于对拟共形模型的研究。该模型是从Blaschke分数构建的，我们称之为预模型，由公式给出。我们在这里给出了一个尺规作图法的前模型映射，扩展到一些情况下，没有公式是已知的。更确切地说，我们能够对一类完整的映射进行这种工作，这类映射非常具体，但仍然跨越了无数个等价类（因此可能没有希望得到公式），并且也适用于在二次多项式的抛物内爆中出现的拉沃尔映射。
英文摘要：
For quadratic polynomials with an indifferent fixed point with bounded type rotation number (they have a Siegel disk), much of what is known of their Julia set comes from the study of a quasiconformal model. The model is build from a Blaschke fraction, that we call a pre-model, and that is given by a formula. We give here a geometric construction of pre-model maps, that extends to some cases where no formula is known. More precisely, we are able to make this work for a class of entire maps, very specific but nonetheless spanning uncountably many equivalence classes (thus with probably no hope for a formula), and also in the case of the Lavaurs maps that arise in the parabolic implosion of quadratic polynomials.
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