Graduate course: Topics in Stochastic Geometry
This is a graduate mini-course taught by Royal Society Incoming International Visitor Prof. Dr. Günter Last (Karlsruhe Institute of Technology) during the month of May 2011.
Stochastic geometry aims to develop and to analyse mathematical models for random spatial patterns. This mini-course provides an introduction into some topics of stochastic geometry. The lectures will not only cover some classical results for stationary tessellations and the (Poisson) Boolean model but will also present some new developments on invariant transports of random measures and continuum percolation.
Lecture 1 (12.05.11) : Point processes and random measures.
Lecture 2 (13.05.11) : Random tessellations.
Lecture 3 (18.05.11) : Random partitions and balanced invariant transports.
Lecture 4 (18.05.11) : The Boolean model.
Lecture 5 (19.05.11) : Models of continuum percolation.