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Critical Exponents for the Contact Process under the Triangle Condition
Authors:David J. Barsky  C. Chris Wu
Affiliation:(1) California State University San Marcos, San Marcos, California, 92096;;(2) Department of Mathematics, Penn State University, Beaver Campus, Monaca, Pennsylvania, 15061;
Abstract:We show that a continuous-time version of the triangle condition for percolation implies mean-field values for several contact process critical exponents. Our results support the belief that the upper critical (spatial) dimension for the contact process is four.
Keywords:Contact process  triangle condition  critical exponent  upper critical dimension
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