THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES
THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES
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Author / Creator
Hu, Yueyun and Shi, Zhan
Publisher
Hayward: Institute of Mathematical Statistics
Journal title
Language
English
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Publisher
Hayward: Institute of Mathematical Statistics
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Scope and Contents
Contents
We are interested in the randomly biased random walk on the supercritical Galton-Watson tree. Our attention is focused on a slow regime when the biased random walk (Xn) is null recurrent, making a maximal displacement of order of magnitude (log n)³ in the first n steps. We study the localization problem of Xn and prove that the quenched law of Xn c...
Alternative Titles
Full title
THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES
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Author / Creator
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Record Identifier
TN_cdi_hal_primary_oai_HAL_hal_03931798v1
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03931798v1
Other Identifiers
ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/15-AOP1064