Stochastic models for particle deposition, car parking and frequency assignment

This thesis contains two parts. The first part is dedicated to a couple of particle deposition, car parking and frequency assignment models. These models are strongly related to each other. The models are extended to (random) trees, and several properties are studied. The emphasis lies on the calculation of the “particle”-densities of the layers on which the depositions occur. It turns out that in general, these densities are not equal for all the layers. Some results are translated into the practice of the licensing for radio frequency use. The second part investigates statistical properties of some measurement methods that can be used to estimate the occupancy of a radio channel. Furthermore, calculation methods are developed to predict the level of interference that is caused by a large number of small interfering sources which are randomly distributed over a surface.