The component graph of the uniform spanning forest: transitions in dimensions 9,10,11
The component graph of the uniform spanning forest: transitions in dimensions 9,10,11
About this item
Full title
Author / Creator
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Language
English
Formats
Publication information
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Subjects
More information
Scope and Contents
Contents
We prove that the uniform spanning forests of
Z
d
and
Z
ℓ
have qualitatively different connectivity properties whenever
ℓ
>
d
≥
4
. In particular, we consider the graph formed by contracting each tree of the uniform spanning forest down to a single vertex, which we call the
component graph
. We introduce th...
Alternative Titles
Full title
The component graph of the uniform spanning forest: transitions in dimensions 9,10,11
Authors, Artists and Contributors
Author / Creator
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Record Identifier
TN_cdi_springer_journals_10_1007_s00440_018_0884_3
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_springer_journals_10_1007_s00440_018_0884_3
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-018-0884-3
