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Geometry of uniform spanning forest components in high dimensions

OAI: oai:purehost.bath.ac.uk:publications/51b416a3-dcec-4de9-a0b5-1fd81a35ac12 DOI: https://doi.org/10.4153/CJM-2017-054-x
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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.