为什么逃跑比预期的要快
Why Escape Is Faster Than Expected
摘要：
我们考虑具有生成马尔可夫分割的混沌（双曲）动力系统。然后，通过使马尔可夫分割的一个元素成为轨道逃逸的洞，建立了开放的动力系统。我们比较各种估计的逃逸率对应的物理图片泄漏在整个相空间。此外，我们发现了逃逸率比预期的要快的一个原因，这是定义逃逸率的函数的凸性。对斜帐篷映射和Arnold猫映射给出了精确的计算。
英文摘要：
We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a Markov partition a hole through which orbits escape. We compare various estimates of the escape rate which correspond to a physical picture of leaking in the entire phase space. Moreover, we uncover a reason why the escape rate is faster than expected, which is the convexity of the function defining escape rate. Exact computations are present for the skewed tent map and Arnold's cat map.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
