An easier extra head scheme for the Poisson process on $\mathbf {R}^{n}$

Robert Service
2010 Proceedings of the American Mathematical Society  
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 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.
doi:10.1090/s0002-9939-2010-10427-6 fatcat:slukv2wva5ar3pxnywd4arfmfu