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October 1999 Point stationarity in d dimensions and Palm theory
Hermann Thorisson
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Bernoulli 5(5): 797-831 (October 1999).


The paper extends to d > 1 dimensions the concept of point-stationarity, which formalizes the intuitive idea of a point process for which the behaviour relative to a given point of the process is independent of the point selected as origin. After defining point-stationarity, this concept is characterized in several ways and the characterizations then used to extend to d dimensions a particular approach to Palm theory, producing two dualities between stationary and point-stationary processes with quite different interpretations. The dualities coincide in the ergodic case.


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Hermann Thorisson. "Point stationarity in d dimensions and Palm theory." Bernoulli 5 (5) 797 - 831, October 1999.


Published: October 1999
First available in Project Euclid: 12 February 2007

zbMATH: 0953.60029
MathSciNet: MR1715440

Keywords: coupling , Palm theory , point process , Random field , stationarity , Stochastic geometry

Rights: Copyright © 1999 Bernoulli Society for Mathematical Statistics and Probability

Vol.5 • No. 5 • October 1999
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