TY - JOUR
T1 - The local limit of uniform spanning trees
AU - Nachmias, Asaf
AU - Peres, Yuval
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/4
Y1 - 2022/4
N2 - We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to ∞ is the Poisson(1) branching process conditioned to survive forever. An extension to “almost” regular graphs and a quenched version are also given.
AB - We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to ∞ is the Poisson(1) branching process conditioned to survive forever. An extension to “almost” regular graphs and a quenched version are also given.
UR - http://www.scopus.com/inward/record.url?scp=85108660468&partnerID=8YFLogxK
U2 - 10.1007/s00440-021-01072-2
DO - 10.1007/s00440-021-01072-2
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AN - SCOPUS:85108660468
SN - 0178-8051
VL - 182
SP - 1133
EP - 1161
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
IS - 3-4
ER -