Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of...
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
About this item
Full title
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
Author / Creator
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Inventiones mathematicae, 2021-05, Vol.224 (2), p.445-486
Language
English
Formats
Publication information
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Subjects
More information
Scope and Contents
Contents
Let
G
be a connected, locally finite, transitive graph, and consider Bernoulli bond percolation on
G
. We prove that if
G
is nonamenable and
p
>
p
c
(
G
)
then there exists a positive constant
c
p
such that
P
p
(
n
≤
|
K
|
<
∞
)
≤
e
-
c
p
n
for...
Alternative Titles
Full title
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_proquest_journals_2511706079
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2511706079
Other Identifiers
ISSN
0020-9910
E-ISSN
1432-1297
DOI
10.1007/s00222-020-01011-3
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