Slightly supercritical percolation on nonamenable graphs II: growth and isoperimetry of infinite clu...
Slightly supercritical percolation on nonamenable graphs II: growth and isoperimetry of infinite clusters
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Author / Creator
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Language
English
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Contents
We study the growth and isoperimetry of infinite clusters in slightly supercritical Bernoulli bond percolation on transitive nonamenable graphs under the
L
2
boundedness condition
(
p
c
<
p
2
→
2
). Surprisingly, we find that the volume growth of infinite clusters is always purely exponential (that is, the subexp...
Alternative Titles
Full title
Slightly supercritical percolation on nonamenable graphs II: growth and isoperimetry of infinite clusters
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TN_cdi_proquest_journals_2911149182
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2911149182
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-023-01240-6
