从概率角度看逃逸率和条件逃逸率
Escape rate and conditional escape rate from a probabilistic point of view
摘要：
我们证明了，对于一个序列的套集$\{U_n\}$与$Λ= \cap_n U_n$的测量零集，局部逃逸率收敛到极值指数的$Λ$，提供动力系统是$ϕ$ -混合在多项式速度。我们还建立了一般的等价性之间的局部逃逸率的进入时间和局部逃逸率的回报。
英文摘要：
We prove that for a sequence of nested sets $\{U_n\}$ with $Λ= \cap_n U_n$ a measure zero set, the localized escape rate converges to the extremal index of $Λ$, provided that the dynamical system is $ϕ$-mixing at polynomial speed. We also establish the general equivalence between the local escape rate for entry times and the local escape rate for returns.
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。
