Geodesic
Geometry of Uniform Spanning Forest Components in High Dimensions
Canadian journal of mathematics, Tome 71 (2019) no. 6, pp. 1297-1321

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DOI

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.
DOI : 10.4153/CJM-2017-054-x
Mots-clés : uniform spanning forest, loop-erased random walk 
Barlow, Martin T.; Járai, Antal A. Geometry of Uniform Spanning Forest Components in High Dimensions. Canadian journal of mathematics, Tome 71 (2019) no. 6, pp. 1297-1321. doi: 10.4153/CJM-2017-054-x
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     author = {Barlow, Martin T. and J\'arai, Antal A.},
     title = {Geometry of {Uniform} {Spanning} {Forest} {Components} in {High} {Dimensions}},
     journal = {Canadian journal of mathematics},
     pages = {1297--1321},
     year = {2019},
     volume = {71},
     number = {6},
     doi = {10.4153/CJM-2017-054-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-054-x/}
}
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