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Correlation lengths for oriented percolation
Authors:Richard Durrett  Roberto H Schonmann  Nelson I Tanaka
Institution:(1) Cornell University, Ithaca, New York;(2) University of São Paulo, São Paulo, Brazil
Abstract:Oriented percolation has two correlation lengths, one in the ldquospacerdquo and one in the ldquotimerdquo 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.
Keywords:Correlation lengths  oriented percolation
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