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}
}
  • A. Bowditch
  • Published 2016
  • Mathematics
  • Stochastic Processes and their Applications
  • 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
    4 Citations

    Figures from this paper.

    Non-Gaussian fluctuations of randomly trapped random walks
    A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees
    • A. Bowditch
    • Mathematics, Computer Science
    • J. Appl. Probab.
    • 2018
    • 6
    • PDF
    Random walks in a queueing network environment
    • 6
    • PDF

    References

    SHOWING 1-10 OF 39 REFERENCES
    A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees
    • A. Bowditch
    • Mathematics, Computer Science
    • J. Appl. Probab.
    • 2018
    • 6
    • PDF
    Biased randomly trapped random walks and applications to random walks on Galton-Watson trees
    • 3
    Randomly trapped random walks on Zd
    • 6
    Biased random walk on critical Galton–Watson trees conditioned to survive
    • 17
    • PDF
    Simple transient random walks in one-dimensional random environment: the central limit theorem
    • 33
    • Highly Influential
    • PDF
    Escape regimes of biased random walks on Galton–Watson trees
    • A. Bowditch
    • Mathematics, Medicine
    • Probability theory and related fields
    • 2018
    • 8
    • PDF
    Randomly trapped random walks
    • 22
    • PDF
    Biased random walks on Galton–Watson trees
    • 113
    • PDF
    A law of large numbers for random walks in random environment
    • 193
    Slowdown estimates and central limit theorem for random walks in random environment
    • 117