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research
A local limit theorem for triple connections in subcritical Bernoulli percolation
Authors
D.B. Abraham
G.R. Grimmett
+9Â more
J. Bricmont
M. Aizenman
M. Campanino
M. Campanino
M. Campanino
M. Campanino
M. Campanino
M. Gianfelice
M.V. Menshikov
Publication date
1 January 2009
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
View
on
arXiv
Abstract
We prove a local limit theorem for the probability of a site to be connected by disjoint paths to three points in subcritical Bernoulli percolation on
Z
d
,
 
d
≥
2
\mathbb{Z}^{d},\,d\geq2
Z
d
,
d
≥
2
in the limit where their distances tend to infinity.Comment: 31 page
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Last time updated on 02/01/2020
Archivio istituzionale della ricerca - Alma Mater Studiorum Università di Bologna
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Last time updated on 03/09/2019