INTERLACEMENTS AND THE WIRED UNIFORM SPANNING FOREST
INTERLACEMENTS AND THE WIRED UNIFORM SPANNING FOREST
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Hayward: Institute of Mathematical Statistics
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Language
English
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Hayward: Institute of Mathematical Statistics
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We extend the Aldous–Broder algorithm to generate the wired uniform spanning forests (WUSFs) of infinite, transient graphs. We do this by replacing the simple random walk in the classical algorithm with Sznitman’s random interlacement process. We then apply this algorithm to study the WUSF, showing that every component of the WUSF is one-ended almo...
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INTERLACEMENTS AND THE WIRED UNIFORM SPANNING FOREST
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TN_cdi_proquest_journals_2025320761
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2025320761
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ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/17-AOP1203