Geometry of uniform spanning forest components in high dimensions

Martin T Barlow; Antal Jarai

doi:10.4153/CJM-2017-054-x

Geometry of uniform spanning forest components in high dimensions

Martin T Barlow, Antal Jarai

Research output: Contribution to journal › Article › peer-review

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Abstract

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

Original language	English
Number of pages	29
Journal	Canadian Journal of Mathematics
DOIs	https://doi.org/10.4153/CJM-2017-054-x
Publication status	Published - 10 Aug 2018

Keywords

uniform spanning forest
Loop-erased random walk

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10.4153/CJM-2017-054-x

jaraiJ171114-AD
This is the Author's Accepted Manuscript of an article published by Canadian Mathematical Society and available in final published form at: http://dx.doi.org/10.4153/CJM-2017-0540-x
Accepted author manuscript, 326 KB

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title = "Geometry of uniform spanning forest components in high dimensions",

abstract = "We study the geometry of the component of the origin in the uniform spanning forest of Z^d and give bounds on the size of balls in the intrinsic metric.",

keywords = "uniform spanning forest, Loop-erased random walk",

author = "Barlow, {Martin T} and Antal Jarai",

year = "2018",

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day = "10",

doi = "10.4153/CJM-2017-054-x",

language = "English",

journal = "Canadian Journal of Mathematics",

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N2 - We study the geometry of the component of the origin in the uniform spanning forest of Z^d and give bounds on the size of balls in the intrinsic metric.

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KW - Loop-erased random walk

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M3 - Article

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JF - Canadian Journal of Mathematics

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ER -

Geometry of uniform spanning forest components in high dimensions

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Antal Jarai

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Geometry of uniform spanning forest components in high dimensions

Abstract

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Antal Jarai

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