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math.PR2026
Downward conditional monotonicity gives survival and extinction for contact processes in random environments
Joseph P. Stover
The concept of downward conditional monotonicity for the Markov-modulated Poisson process (MMPP) is introduced and used to derive the optimal stochastic domination of a standard Po…
math.PR2019
A stochastic comparison result for the multitype contact process with unequal death rates
Joseph P. Stover
A stochastic comparison result that makes progress towards understanding the classical multitype contact process with unequal death rates is given. It has long been conjectured tha…
math.PR2010★ 3 cited
Attractive n-type contact processes
Joseph Stover
Interacting particle systems are continuous time Markov processes which are used to construct models in many disciplines. Monotonicity is a property that some interacting particle…