Sierpienski曲线上的显式动力系统
Explicit Dynamical Systems on the Sierpiński Curve
摘要：
利用$n-$ Chamanara曲面的初始系统及其$n-$面包师变换$n \geq 2$，在Sierpienski地毯上应用Borobrski和Oprocha的动力系统的逆极限构造.证明了地毯上所有正实数都可实现为动力系统的度量熵值。我们还产生了一个简化的Borovenski和Oprocha的证明表明，地毯上的动力系统不具有Bowen规格属性。
英文摘要：
We apply Boroński and Oprocha's inverse limit construction of dynamical systems on the Sierpiński carpet by using the initial systems of $n-$Chamanara surfaces and their $n-$baker transformations, $n \geq 2$. We show that all positive real numbers are realized as metric entropy values of dynamical systems on the carpet. We also produce a simplification of Boroński and Oprocha's proof showing that dynamical systems on the carpet do not have the Bowen specification property.
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