In [Mil92], Milnor found Tricorn-like sets in the parameter space of real cubic polynomials. We give a rigorous definition of these Tricorn-like sets as suitable renormalization loci, and show that the dynamically natural straightening map from such a Tricorn-like set to the original Tricorn is discontinuous. We also prove some rigidity theorems for polynomial parabolic germs, which state that one can recover unicritical holomorphic and anti-holomorphic polynomials from their parabolic germs.

中文翻译：

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反全纯动力学中矫直的不连续性：II

在 [Mil92] 中，Milnor 在实三次多项式的参数空间中发现了类似 Tricorn 的集合。我们将这些类似 Tricorn 的集合严格定义为合适的重整化位点，并表明从这种类似 Tricorn 的集合到原始 Tricorn 的动态自然拉直映射是不连续的。我们还证明了多项式抛物线胚的一些刚性定理，这些定理表明可以从抛物线胚中恢复单临界全纯和反全纯多项式。