On Some Harris-FKG Type Correlation Inequalities for a Non-Attractive Model |
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| Authors: | Sarato Takahashi Alex Yu. Tretyakov Norio Konno |
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| Affiliation: | 1. Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Tokiwadai 79-5, Yokohama, 240-8501, Japan
2. Institute of Technology and Engineering, College of Sciences, Massey University, Private Bag, 11 222, Palmerston North, New Zealand
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| Abstract: | We consider the following non-attractive one-dimensional model whose evolution is given by ξn+1(x)=ξn(x+1)+ξn(x?1) (mod 2) with probability p, =0 with probability 1?p. In the present letter, we prove that some Harris-FKG type correlation inequalities hold for this model. Moreover it is shown that a correlation inequality is also correct for the more general non-attractive class. |
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