The Palm-duality for random subsets of d-dimensional grids

Citation
Thorisson, Hermann, The Palm-duality for random subsets of d-dimensional grids, Advances in applied probability , 39(1), 2007, pp. 318-325
ISSN journal
00018678
Volume
39
Issue
1
Year of publication
2007
Pages
318 - 325
Database
ACNP
SICI code
Abstract
The Palm version of a stationary random subset of a d-dimensional grid is contructed using the two-step change-of-origin and change-of-measure method. An elementary proof is given of the fact that the Palm version is characterized by point-stationarity (distributional invariance under bijective shifts of the origin from a point of the set to another point of the set).