Applications
This brief description has focused on the theory of stochastic geometry, which allows a view of the structure of the subject. However, much of the life and interest of the subject, and indeed many of its original ideas, flow from a very wide range of applications, for example: astronomy, spatially distributed telecommunications, modeling of channel fading, forestry, the statistical theory of shape, material science, multivariate analysis, problems in image analysis and stereology. There are links to statistical mechanics, Markov chain Monte Carlo, and implementations of the theory in statistical computing (for example, spatstat in R). Most recently determinantal and permanental point processes (connected to random matrix theory) are beginning to play a role.
Read more about this topic: Stochastic Geometry