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UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_6eaedc0c98d545238e6da3603712caf8

UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

About this item

Full title

UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

Publisher

Cambridge: Cambridge University Press

Journal title

Forum of mathematics. Sigma, 2019, Vol.7, Article e29

Language

English

Formats

Publication information

Publisher

Cambridge: Cambridge University Press

More information

Scope and Contents

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...

Alternative Titles

Full title

UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_6eaedc0c98d545238e6da3603712caf8

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_6eaedc0c98d545238e6da3603712caf8

Other Identifiers

ISSN

2050-5094

E-ISSN

2050-5094

DOI

10.1017/fms.2019.14

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