On the Contact Process on Gallon-Watson Trees

ZHAO Lijiu, CHEN Dayue. On the Contact Process on Gallon-Watson Trees[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(1): 43-47.

Citation:

ZHAO Lijiu, CHEN Dayue. On the Contact Process on Gallon-Watson Trees[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(1): 43-47.

Citation:

ZHAO Lijiu, CHEN Dayue. On the Contact Process on Gallon-Watson Trees[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(1): 43-47.

Abstract

We verify that two critical points of the contact process on Galton-Watson trees are constant almost surely. In some special cases we are able to distillguish two critical points by providing good bounds On them. Consequently there are two phase transitions in this model.

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