Ends in free minimal spanning forests

Details Ends in free minimal spanning forests Ends in free minimal spanning forests

2006-06-29

arxiv.org/abs/math/0606750v1

Annals of Probability 2006, Vol. 34, No. 3, 865-869

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000025 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000025

We show that for a transitive unimodular graph, the number of ends is the
same for every tree of the free minimal spanning forest. This answers a
question of Lyons, Peres and Schramm.

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