Central limit theorems for biased randomly trapped random walks on Z

@article{Bowditch2016CentralLT,
title={Central limit theorems for biased randomly trapped random walks on Z},
author={A. Bowditch},
journal={Stochastic Processes and their Applications},
year={2016},
volume={129},
pages={740-770}
}

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… CONTINUE READING