UNIFORM SPANNING FORESTS OF PLANAR GRAPHS
UNIFORM SPANNING FORESTS OF PLANAR GRAPHS
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Cambridge: Cambridge University Press
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English
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Cambridge: Cambridge University Press
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Contents
We prove that the free uniform spanning forest of any bounded degree proper plane graph is connected almost surely, answering a question of Benjamini, Lyons, Peres and Schramm. We provide a quantitative form of this result, calculating the critical exponents governing the geometry of the uniform spanning forests of transient proper plane graphs wit...
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UNIFORM SPANNING FORESTS OF PLANAR GRAPHS
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TN_cdi_doaj_primary_oai_doaj_org_article_6eaedc0c98d545238e6da3603712caf8
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_6eaedc0c98d545238e6da3603712caf8
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ISSN
2050-5094
E-ISSN
2050-5094
DOI
10.1017/fms.2019.14