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.References
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Additional Information
- Robert Service
- Affiliation: Department of Mathematics and Statistics, University of Helsinki, SF-00014 Helsinki, Finland
- Email: robert.service@helsinki.fi
- Received by editor(s): June 11, 2009
- Received by editor(s) in revised form: January 28, 2010, and January 29, 2010
- Published electronically: May 21, 2010
- Communicated by: Richard C. Bradley
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3703-3705
- MSC (2010): Primary 60G55, 60G10
- DOI: https://doi.org/10.1090/S0002-9939-2010-10427-6
- MathSciNet review: 2661568