Acta Mathematica Sinica

, Volume 6, Issue 4, pp 349–353 | Cite as

Exponential convergence for one dimensional contact processes

  • Chen Jinwen
  • Richard Durrett
  • Liu Xiufang


The complete convergence theorem implies that starting from any initial distribution the one dimensional contact process converges to a limit ast→∞. In this paper we give a necessary and sufficient condition on the initial distribution for the convergence to occur with exponential rapidity.


Convergence Theorem Initial Distribution Exponential Convergence Contact Process Complete Convergence 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Chen Jinwen
    • 1
  • Richard Durrett
    • 2
  • Liu Xiufang
    • 1
  1. 1.Department of MathematicsBeijing Normal UniversityChina
  2. 2.Cornell UniversityUSA

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