Diffraction and Palm measure of point processes

Details Diffraction and Palm measure of point processes Diffraction and Palm measure of point processes

2002-08-08

arxiv.org/abs/math/0208064v1

Mathematics

Probability

Results to be published in C.R.A.S. Paris

Scientific paper

Using the Palm measure notion, we prove the existence of the diffraction
measure of all stationary and ergodic point processes. We get precise
expressions of those measures in the case of specific processes : stochastic
subsets of Z^d, sets obtained by the ``cut-and-project'' method.

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