Santos, Sara I and Walkden, Charles (2011) Distributional and local limit laws for a class of iterated maps that contract on average. [MIMS Preprint]
![[thumbnail of stab_limit_law.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
stab_limit_law.pdf Download (263kB) |
Abstract
We consider iterated function schemes that contract on average with place-dependent probabilities. We are interested in generalisations of the central limit theorem, particularly to observations with infinite variance. By studying the spectral properties of an associated one-parameter family of transfer operators acting on an appropriate function space, we prove both a distributional and local limit law with convergence to a stable distribution.
| Item Type: | MIMS Preprint |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes |
| Depositing User: | Ms Lucy van Russelt |
| Date Deposited: | 14 May 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1620 |
Actions (login required)
 |
View Item |