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Creators/Authors contains: "Huang, Xiangying"

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  1. ; ; (, Probability Theory and Related Fields)
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  2. ; (, Stochastic Processes and their Applications)
    In the system we study, 1's and 0's represent occupied and vacant sites in the contact process with births at rate $$\lambda$$ and deaths at rate 1. $-1$'s are sterile individuals that do not reproduce but appear spontaneously on vacant sites at rate $$\alpha$$ and die at rate $$\theta\alpha$$. We show that the system (which is attractive but has no dual) dies out at the critical value and has a nontrivial stationary distribution when it is supercritical. Our most interesting results concern the asymptotics when $$\alpha\to 0$$. In this regime the process resembles the contact process in a random environment. 
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  3. ; (, Electronic Journal of Probability)
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  4. ; (, Probability Theory and Related Fields)
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  5. ; (, Latin American Journal of Probability and Mathematical Statistics)
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