Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens
G. Matheron · Advances in Applied Probability · 1972
Random set theory is closely connected with integral geometry. After a general description, based upon the Choquet theorem, the semi-Markovian property is defined and characterized in terms of integral geometry. Applications are made to Poisson polytopes characterized by conditional invariance properties.