Internet Archive Scholar

A Poisson limit theorem for Gibbs-Markov maps

Xuan Zhang
2020 Dynamical systems  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (239.7 kB)
https://web.archive.org/web/20201030002321/https://arxiv.org/pdf/2010.14365v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:

2020 pre-print arXiv:2010.14365v1 fatcat:jbtf6ah2fvdabiy26tjk4ky4cu
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.
doi:10.1080/14689367.2020.1836131 fatcat:2svq7xlalnff5jlngc6hjm6xxm
Multiple Versions
Citation

Xuan Zhang. "A Poisson limit theorem for Gibbs-Markov maps." Dynamical systems (2020) 1-15