论文标题
抗塑形动力学中的可访问双曲线成分
Accessible hyperbolic components in anti-holomorphic dynamics
论文作者
论文摘要
已知三角龙是抗塑形二次家族的连接基因座，已知是非局部连接的。奇数周期的每个双曲分量的边界都包含弧形，这些弧与三角形的补充无法访问。随着时期的增加，装饰变得越来越复杂，似乎很自然地认为，足够大且奇怪时期的每个双曲线成分都是无法访问的。与这一期望相反，我们表明Tricorn包含无限的多双曲分量，可以从补充中获得。
The tricorn, the connectedness locus of the anti-holomorphic quadratic family, is known to be non-locally connected. The boundary of every hyperbolic component of odd period contains arcs that are inaccessible from the complement of the tricorn. As the period increases, the decorations become more and more complicated, and it seems natural to think that every hyperbolic component of sufficiently large and odd period is inaccessible. Contrary to this expectation, we show that the tricorn contains infinitely many hyperbolic components that are accessible from the complement.
