Correlation lengths for oriented percolation |
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Authors: | Richard Durrett Roberto H Schonmann Nelson I Tanaka |
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Institution: | (1) Cornell University, Ithaca, New York;(2) University of São Paulo, São Paulo, Brazil |
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Abstract: | Oriented percolation has two correlation lengths, one in the space and one in the time direction. In this paper we define these quantities for the two-dimensional model in terms of the exponential decay of suitably chosen quantities, and study the relationship between the various definitions. The definitions are used in a companion paper to prove inequalities between critical exponents. |
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Keywords: | Correlation lengths oriented percolation |
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