A strong correlation inequality for contact processes and oriented percolation

Vladimir Belitsky, Pablo A. Ferrari, Norio Konno and Thomas M. Liggett

Stochastic Processes and their Applications, 1997, vol. 67, issue 2, 213-225

Abstract: 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.

Keywords: FKG; inequality; Correlation; inequality; Contact; process; Oriented; percolation (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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