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Institute of Stochastics

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 2.056 und 2.002

Address
Hausadresse:
Karlsruher Institut für Technologie (KIT)
Institut für Stochastik
Englerstr. 2
D-76131 Karlsruhe

Postadresse:
Karlsruher Institut für Technologie (KIT)
Institut für Stochastik
Postfach 6980
D-76049 Karlsruhe

Office hours:
Mo-Fr 10:00 - 12:00

Tel.: +49 721 608 43270/43265

Fax.: +49 721 608 46066

Spatial Stochastic and Stochastic Geometry

Members

Felix Herold
Daniel Hug
Michael Andreas Klatt
Günter Last
Dennis Müller
Franz Nestmann
Moritz Otto
Steffen Winter


Summary

Spatial stochastics developes mathematical methods for the analysis, statistical investigation, and simulation of random spatial structures and phenomena. It has, for example, applications in physics, materials science, medicine, or mobile telecommunications.

Basic models of spatial stochastics are random measures, random (e.g., Gaussian) fields, (geometric) point processes and random tessellations. An essential part of the research is concerned with random point processes and random measures. In this context, for instance, invariance properties of the characteristics of stationary random measures are explored on homogeneous or on more general spaces which are subject to a group action. Stochastic geometry constitutes a central part of the research area. The focus of interest is the modeling and analysis of distributional properties of point processes, of convex (and more general) sets as well as of geometrically defined measures.

Some members of the research unit also deal with convex and integral geometry which is a strong pillar of stochastic geometry. Here curvature and support measures of compact sets, additive functionals (such as tensor valuations) and related integral-geometric formulas are explored.


Projects and fields of research


Research Seminar of the group

winter term 2017/2018 summer term 2017 ... of former semesters

Selected Publications

... of the DFG research unit

Guests

24.-28.4.17 Ryszard Szekli (University of Wroclaw)
Mai 2017 Richard Gardner (Western Washington University)
08.-12.5.17 Hermann Thorisson (University of Iceland)