The local limit of uniform spanning trees
成果类型：
Article
署名作者：
Nachmias, Asaf; Peres, Yuval
署名单位：
Tel Aviv University; University System of Ohio; Kent State University; Kent State University Kent; Kent State University Salem
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-021-01072-2
发表日期：
2022
页码：
1133-1161
关键词：
摘要：
We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to infinity is the Poisson(1) branching process conditioned to survive forever. An extension to almost regular graphs and a quenched version are also given.
来源URL：