Stationary Models in Stochastic Geometry - Palm Distributions as Distributions of Typical Elements. An Approach Without Limits

Abstract

The text introduces basic notions for stationary models in Stochastic Geometry. Those are the models themselves, the intensity and the Palm distribution as the distribution of the typical object in a random geometric structure. The Campbell theorem is presented as the main tool to investigate relations between quantitative characteristics without considerations of limits in space. The application to random tessellations is demonstrated as an example.