亚稳系统的近似不变密度
Approximating invariant densities of metastable systems
摘要：
考虑区间上的分段光滑可扩映射，它具有两个不变的正勒贝格测度子集和恰好两个遍历的绝对连续不变概率测度（ACIM）.当这个系统被轻微扰动，使不变集合并，我们描述了如何唯一的ACIM扰动映射可以近似为一个凸组合的两个初始遍历ACIM。
英文摘要：
We consider a piecewise smooth expanding map of the interval possessing two invariant subsets of positive Lebesgue measure and exactly two ergodic absolutely continuous invariant probability measures (ACIMs). When this system is perturbed slightly to make the invariant sets merge, we describe how the unique ACIM of the perturbed map can be approximated by a convex combination of the two initial ergodic ACIMs.
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。
