WIRED CYCLE-BREAKING DYNAMICS FOR UNIFORM SPANNING FORESTS
WIRED CYCLE-BREAKING DYNAMICS FOR UNIFORM SPANNING FORESTS
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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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Contents
We prove that every component of the wired uniform spanning forest (WUSF) is one-ended almost surely in every transient reversible random graph, removing the bounded degree hypothesis required by earlier results. We deduce that every component of the WUSF is one-ended almost surely in every supercritical Galton-Watson tree, answering a question of...
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WIRED CYCLE-BREAKING DYNAMICS FOR UNIFORM SPANNING FORESTS
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TN_cdi_proquest_journals_1843759588
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_1843759588
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ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/15-AOP1063