Mathematics – Probability
Scientific paper
2007-06-04
Electron. J. Probab. 13 Paper 58 (2008), 1701-1725.
Mathematics
Probability
22 pages
Scientific paper
It has hitherto been known that in a transitive unimodular graph, each tree
in the wired spanning forest has only one end a.s. We dispense with the
assumptions of transitivity and unimodularity, replacing them with a much
broader condition on the isoperimetric profile that requires just slightly more
than uniform transience.
Lyons Russell
Morris Benjamin J.
Schramm Oded
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