UNIFORM SPANNING FORESTS OF PLANAR GRAPHS
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 spa...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2019-01-01
|
Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509419000148/type/journal_article |