论文标题

单峰真实二次理性地图的熵的单调性

Monotonicity of entropy for unimodal real quadratic rational maps

论文作者

Gao, Yan

论文摘要

我们表明,拓扑熵对于单峰间隔图是单调的,这是从具有实际系数的二次理性图中获得的。这是通过排除上述地图模量空间中某些后临界曲线的存在来完成的,并根据实验证据确认[FIL19]中的猜想。

We show that the topological entropy is monotonic for unimodal interval maps which are obtained from the restriction of quadratic rational maps with real coefficients. This is done by ruling out the existence of certain post-critical curves in the moduli space of aforementioned maps, and confirms a conjecture made in [Fil19] based on experimental evidence.

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