Geometry of Uniform Spanning Forest Components in High Dimensions

We study the geometry of the component of the origin in the uniform spanning forest of $\mathbb{Z}^{d}$ and give bounds on the size of balls in the intrinsic metric.

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Bibliographic Details
Published in:Canadian journal of mathematics 2019-12, Vol.71 (6), p.1297-1321
Main Authors: Barlow, Martin T., Járai, Antal A.
Format: Article
Language:English
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Description
Summary:We study the geometry of the component of the origin in the uniform spanning forest of $\mathbb{Z}^{d}$ and give bounds on the size of balls in the intrinsic metric.
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-2017-054-x