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Local Times of Subdiffusive Biased Walks on Trees

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  • Yueyun Hu

    (Université Paris XIII)

Abstract

Consider a class of null-recurrent randomly biased walks on a supercritical Galton–Watson tree. We obtain the scaling limits of the local times and the quenched local probability for the biased walk in the subdiffusive case. These results are a consequence of a sharp estimate on the return time, whose analysis is driven by a family of concave recursive equations on trees.

Suggested Citation

  • Yueyun Hu, 2017. "Local Times of Subdiffusive Biased Walks on Trees," Journal of Theoretical Probability, Springer, vol. 30(2), pages 529-550, June.
    • Handle: RePEc:spr:jotpro:v:30:y:2017:i:2:d:10.1007_s10959-015-0652-6
    DOI: 10.1007/s10959-015-0652-6
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    References listed on IDEAS

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    1. P. Andreoletti & P. Debs, 2014. "The Number of Generations Entirely Visited for Recurrent Random Walks in a Random Environment," Journal of Theoretical Probability, Springer, vol. 27(2), pages 518-538, June.
    2. Liu, Quansheng, 2000. "On generalized multiplicative cascades," Stochastic Processes and their Applications, Elsevier, vol. 86(2), pages 263-286, April.
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