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

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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
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Central limit theorem, Random walks (Mathematics), Stochastic processes
Journal or Publication Title:	Stochastic Processes and their Applications
Publisher:	Elsevier Science BV
ISSN:	0304-4149
Official Date:	March 2019
Dates:	Date Event March 2019 Published 5 April 2018 Available 26 March 2018 Accepted
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
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID EP/H023364/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266

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