A strong correlation inequality for contact processes and oriented percolation

Let v(A) be the extinction probability for a contact process on a countable set S with initial state A [subset of] S. We prove that for any sets A, B [subset of] S, [nu](A[intersection]B)[nu](A[union or logical sum]B)[greater-or-equal, slanted][nu](A)[nu](B). We also prove an analogous statement for oriented percolation.

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Year of publication:	1997
Authors:	Belitsky, Vladimir ; Ferrari, Pablo A. ; Konno, Norio ; Liggett, Thomas M.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 67.1997, 2, p. 213-225
Publisher:	Elsevier
Keywords:	FKG inequality Correlation inequality Contact process Oriented percolation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874711