00-177 Akira Sakai
Mean-field Critical Behavior for Contact Processes (328K, .ps.gz) Apr 9, 00
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We prove the triangle condition for the basic contact process in sufficiently high dimensions and for the spatially spread-out contact process in spatial dimension $d > 4$. Combining with the result of Barsky and Wu in 1998, we prove the mean-field critical behavior for these processes. Our results imply that the upper critical dimension for the contact processes is four.

Files: 00-177.src( 00-177.keywords , MFCP.ps.gz.mm )