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math.PR2009
Deterministic Thinning of Finite Poisson Processes
Omer Angel, Alexander E. Holroyd, Terry Soo
Let Pi and Gamma be homogeneous Poisson point processes on a fixed set of finite volume. We prove a necessary and sufficient condition on the two intensities for the existence of a…
math.PR2009★ 25 cited
Poisson splitting by factors
Alexander E. Holroyd, Russell Lyons, Terry Soo
Given a homogeneous Poisson process on with intensity , we prove that it is possible to partition the points into two sets, as a deterministic function of the p…