Local Times of Subdiffusive Biased Walks on Trees

Yueyun Hu ()
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Yueyun Hu: Université Paris XIII

Journal of Theoretical Probability, 2017, vol. 30, issue 2, 529-550

Abstract: 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.

Keywords: Biased random walk on the Galton–Watson tree; Local time; Concave recursive equations; 60J80; 60G50; 60K37 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10959-015-0652-6

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