论文标题
时空过程的融合应用访问
Application of the convergence of the spatio-temporal processes for visits to small sets
论文作者
论文摘要
本文的目的是指出在定量复发的不同问题中时空过程的重要性。我们专注于在第一次访问另一组之前对一组访问的数量进行研究（Kifer和Rapaport先前的工作引起的问题），高记录的研究，线路过程的研究，对小组流量所花费的时间的研究。我们通过台球或大地测量流的结果来说明这些应用。本文特别包含了与西奈台球流到台球域中一小邻居相关的时空过程分布分布分布的新结果。
The goal of this article is to point out the importance of spatio-temporal processes in different questions of quantitative recurrence. We focus on applications to the study of the number of visits to a small set before the first visit to another set (question arising from a previous work by Kifer and Rapaport), the study of high records, the study of line processes, the study of the time spent by a flow in a small set. We illustrate these applications by results on billiards or geodesic flows. This paper contains in particular new result of convergence in distribution of the spatio temporal processes associated to visits by the Sinai billiard flow to a small neighbourhood of orbitrary points in the billiard domain.
