命中和逃逸统计：混合，目标和孔
Hitting and escaping statistics: mixing, targets and holes
摘要：
两种类型的递归定律之间有一种自然的联系：对缩小目标的首中时，以及对固定目标的首中时（通常被视为通过一个洞逃跑）。我们表明，指数快速混合的系统，可以通过一个自然的参数空间从一个移动到另一个。另一方面，如果混合是次指数的，则在首中时定律和逃逸定律之间存在相变。
英文摘要：
There is a natural connection between two types of recurrence law: hitting times to shrinking targets, and hitting times to a fixed target (usually seen as escape through a hole). We show that for systems which mix exponentially fast, one can move through a natural parameter space from one to the other. On the other hand, if the mixing is subexponential, there is a phase transition between the hitting times law and the escape law.
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。
