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04908 Stochastic Geometry
Danish title: Stochastic Geometry
Language: English Credit points: 4,5
Type: Ph.D.-level, Open University
Language: English

Recommended semester: 7th - 9th semester
Scope and form: Lectures by participants, and possibly by invited guest speakers. Computer exercises.
Examination: Evaluation of report. (Pass/fail)
Contact person: Bo Friis Nielsen, Building 321, Tel. +45 4525 3397, email bfn@imm.dtu.dk, http://www.imm.dtu.dk/~bfn

Department: Informatics and Mathematical Modelling
Aim: The course introduces the student to the fundamentals of stochastic geometry, with special emphasis on point processes, and thus enables the student to perform independent research in the application of the field.
Contents: The homogenous Poisson process. General point processes in Euclidean spaces. Special point process models (Cox processes, Neyman-Scott processes, Hard Core processes, Gibbs processes). Random closed sets. Random measures. The course discusses analysis, simulation, and inference. Further topics are taken from recent literature on stochastic geometry, or on its applications to the special fields of the participants.