Spatio-temporal Poisson processes for visits to small sets

被引：0
|
作者：
Françoise Pène
Benoît Saussol
机构：
[1] Université de Brest,Laboratoire de Mathématiques de Bretagne Atlantique, CNRS UMR 6205 Univ Brest
来源：
Israel Journal of Mathematics | 2020年 / 240卷
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摘要：
For many measure preserving dynamical systems (Ω,T, μ) the successive hitting times to a small set is well approximated by a Poisson process on the real line. In this work we define a new process obtained from recording not only the successive times n of visits to a set A, but also the position Tn (x)in A of the orbit, in the limit where μ(A) → 0.
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页码：625 / 665
页数：40
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