A correlation inequality for connection events in percolation
van den Berg, J. ; Kahn, J.
Ann. Probab., Tome 29 (2001) no. 1, p. 123-126 / Harvested from Project Euclid
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It is well-known in percolation theory (and intuitively plausible) that two events of the form “there is an open path from s to a ”are positively correlated. We prove the (not intuitively obvious) fact that this is still true if we condition on an event of the form “there is no open path from s to t.”
Publié le : 2001-02-14
Classification:  Correlation inequalities,  percolation,  Ahlswede-Daykin theorem,  05C99,  60C05,  60K35 
@article{1008956324,
     author = {van den Berg, J. and Kahn, J.},
     title = {A correlation inequality for connection events in
		 percolation},
     journal = {Ann. Probab.},
     volume = {29},
     number = {1},
     year = {2001},
     pages = { 123-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1008956324}
}

van den Berg, J.; Kahn, J. A correlation inequality for connection events in
		 percolation. Ann. Probab., Tome 29 (2001) no. 1, pp.  123-126. http://gdmltest.u-ga.fr/item/1008956324/