A counterexample to R. Davidson's conjecture on line processes
- 1 September 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 82 (2) , 301-307
- https://doi.org/10.1017/s0305004100053949
Abstract
Rollo Davidson conjectured in 1968 that every stationary second order line process in the plane which has a.s. no parallel lines is necessarily a Cox (or doubly stochastic Poisson) process. This conjecture is disproved here. An affirmative answer is further given to the question whether there exists a lattice type point process in the plane which is stationary under arbitrary area preserving affine transformations.This publication has 5 references indexed in Scilit:
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