THE RANGE OF TREE-INDEXED RANDOM WALK IN LOW DIMENSIONS
THE RANGE OF TREE-INDEXED RANDOM WALK IN LOW DIMENSIONS
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Publisher
Hayward: Institute of Mathematical Statistics
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Language
English
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Hayward: Institute of Mathematical Statistics
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Contents
We study the range Rn of a random walk on the d-dimensional lattice ℤd indexed by a random tree with n vertices. Under the assumption that the random walk is centered and has finite fourth moments, we prove in dimension d ≤ 3 that n−d/4 Rn converges in distribution to the Lebesgue measure of the support of the integrated super-Brownian excursion (I...
Alternative Titles
Full title
THE RANGE OF TREE-INDEXED RANDOM WALK IN LOW DIMENSIONS
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Author / Creator
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1441792296
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1441792296
Other Identifiers
ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/14-AOP947
