An easier extra head scheme for the Poisson process on 𝐑ⁿ

Service, Robert

doi:10.1090/S0002-9939-2010-10427-6

An easier extra head scheme for the Poisson process on $\mathbf {R}^{n}$
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Proc. Amer. Math. Soc. 138 (2010), 3703-3705 Request permission

Abstract:

A simple construction is presented whereby a nonrandomized extra head scheme for stationary ergodic point processes on the line due to T. Liggett (2002) is lifted to $\mathbf {R}^{n}$ in the Poisson case. This gives the simplest construction for a nonrandomized extra head scheme in higher dimensions, yet the method has been overlooked in previous work on the subject.

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