论文标题
Gibbs-Markov地图的泊松限制定理
A Poisson limit theorem for Gibbs-Markov maps
论文作者
论文摘要
我们证明了Gibbs-Markov地图表明，对一系列缩小集的访问次数，有界的圆柱长度在分布中收敛到Poisson定律。应用于持续的分数，该结果扩展了杜布林的泊松限制定理。
We prove for Gibbs-Markov maps that the number of visits to a sequence of shrinking sets with bounded cylindrical lengths converges in distribution to a Poisson law. Applying to continued fractions, this result extends Doeblin's Poisson limit theorem.
