Jinwen, Chen et al., Exponential Convergence for One. Dimensional Contact Processes, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 6(4), 1990, pp. 349-353
The complete convergence theorem implies that starting from any initial distribution the one dimensional contact process converges to a limit as t . .. In this paper we give a necessary and sufficient condition on the initial distribution for the convergence to occur with exponential rapidity.