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Central limit theorems for biased randomly trapped random walks on Z
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Bowditch, Adam (2019) Central limit theorems for biased randomly trapped random walks on Z. Stochastic Processes and their Applications, 129 (3). pp. 740-770. doi:10.1016/j.spa.2018.03.017 ISSN 0304-4149.
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Official URL: https://doi.org/10.1016/j.spa.2018.03.017
Abstract
We prove CLTs for biased randomly trapped random walks in one dimension. By considering a sequence of regeneration times, we will establish an annealed invariance principle under a second moment condition on the trapping times. In the quenched setting, an environment dependent centring is necessary to achieve a central limit theorem. We determine a suitable expression for this centring. As our main motivation, we apply these results to biased walks on subcritical Galton–Watson trees conditioned to survive for a range of bias values.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Random walks (Mathematics), Central limit theorem | ||||||||
| Journal or Publication Title: | Stochastic Processes and their Applications | ||||||||
| Publisher: | Elsevier Science BV | ||||||||
| ISSN: | 0304-4149 | ||||||||
| Official Date: | March 2019 | ||||||||
| Dates: |
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| Volume: | 129 | ||||||||
| Number: | 3 | ||||||||
| Page Range: | pp. 740-770 | ||||||||
| DOI: | 10.1016/j.spa.2018.03.017 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 6 September 2018 | ||||||||
| Date of first compliant Open Access: | 25 January 2019 | ||||||||
| RIOXX Funder/Project Grant: |
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