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Speed function for biased random walks with traps

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  • Betz, Volker
  • Meiners, Matthias
  • Tomic, Ivana

Abstract

We consider a biased nearest-neighbor random walk on Z which at each step is trapped for some random time with random, site-dependent mean. We derive a simple formula for the speed function in terms of the model parameters.

Suggested Citation

  • Betz, Volker & Meiners, Matthias & Tomic, Ivana, 2023. "Speed function for biased random walks with traps," Statistics & Probability Letters, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:stapro:v:195:y:2023:i:c:s0167715222002784
    DOI: 10.1016/j.spl.2022.109765
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    References listed on IDEAS

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    1. Axelson-Fisk, Marina & Häggström, Olle, 2009. "Biased random walk in a one-dimensional percolation model," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3395-3415, October.
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