English

Diffraction and Palm measure of point processes

Probability 2007-05-23 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math/0208064,
  title  = {Diffraction and Palm measure of point processes},
  author = {Jean-Baptiste Gouéré},
  journal= {arXiv preprint arXiv:math/0208064},
  year   = {2007}
}

Comments

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