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Published in 2021 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-021-01072-2
Abstract: We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to $$\infty $$ ∞ is the Poisson(1) branching process conditioned to survive forever.…
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Keywords:
local limit;
uniform spanning;
spanning trees;
limit uniform ... See more keywords