| Full text | |
| Author(s): |
Zhang, Xuan
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 36, n. 1 NOV 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 18/15088-4 - Limit theorems in dynamical systems |
| Grantee: | Xuan Zhang |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |