Universality of high-dimensional spanning forests and sandpiles
Universality of high-dimensional spanning forests and sandpiles
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Language
English
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Contents
We prove that the wired uniform spanning forest exhibits mean-field behaviour on a very large class of graphs, including every transitive graph of at least quintic volume growth and every bounded degree nonamenable graph. Several of our results are new even in the case of
Z
d
,
d
≥
5
. In particular, we prove that every tree in...
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Full title
Universality of high-dimensional spanning forests and sandpiles
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Author / Creator
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TN_cdi_proquest_journals_2235402882
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2235402882
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ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-019-00923-3