Waiting for long excursions and close visits to neutral fixed points of null-recurrent ergodic maps
Waiting for long excursions and close visits to neutral fixed points of null-recurrent ergodic maps
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等待长途旅行和近距离访问零循环遍历地图的中性固定点
DOI：
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发表时间：
2008
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影响因子：
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通讯作者：
Roland Zweimüller
中科院分区：
文献类型：
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作者：
Roland Zweimüller
对于某些遍历无限测度保持变换T，我们确定了当l→∞时长度大于l的偏移（从有限测度的固定参考集出发）的等待时间分布的渐近性质，推广了Lamperti的一个更新理论结果。这个抽象的分布极限定理应用于某些弱展开区间映射，阐明了中立不动点的收缩邻域命中时间的分布特性。
We determine, for certain ergodic infinite measure preserving transformations T , the asymptotic behaviour of the distribution of the waiting time for an excursion (from some fixed reference set of finite measure) of length larger than l as l → ∞, generalizing a renewal-theoretic result of Lamperti. This abstract distributional limit theorem applies to certain weakly expanding interval maps, where it clarifies the distributional behaviour of hitting times of shrinking neighbourhoods of neutral fixed points.