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THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES

THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03931798v1

THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES

About this item

Full title

THE SLOW REGIME OF RANDOMLY BIASED WALKS ON TREES

Author / Creator

Publisher

Hayward: Institute of Mathematical Statistics

Journal title

The Annals of probability, 2016-11, Vol.44 (6), p.3893-3933

Language

English

Formats

Publication information

Publisher

Hayward: Institute of Mathematical Statistics

More information

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

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

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

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