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Repulsive point processes arise in models where competition forces entitiesto be more spread apart than if placed independently. Simulation of these typesof processes can be accomplished using dominated coupling from the past with arunning time that varies as the intensity of the number of points. Thesealgorithms usually exhibit what is called an artificial phase transition, wherebelow a critical intensity the algorithm runs in finite expected time, butabove the critical intensity the expected number of steps is infinite. Here theartificial phase transition is examined. In particular, an earlier lower boundon this artificial phase transition is improved by including a new type of termin the analysis. In addition, the results of computer experiments to locate thetransition are presented.

Bounds on the artificial phase transition for perfect simulation of repulsive point processes