Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 513-518.

• Articles •     Next Articles

COMPLETE CONVERGENCE THEORY OF THE
CONTACT PROCESS ON Td ×|Z

 GU Chu-Mei   

  • Online:2004-10-20 Published:2004-10-20
  • Supported by:

    Research was supported in part by Grant G1999075106 from
    the Ministry of Science and Technology of China.

Abstract:

The author considers the contact process on a branching plane Td ×Z, which
is the product of a regular tree Td and the line Z. It is shown that above the second critical
point, the complete convergence theory holds.

Key words: Contact process, Td ×, Z, complete convergence theory

CLC Number: 

  • 60G07
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