Research interests
- Stochastic geometry
- Random point processes and random mosaics
- Germ-grain models
- Statistical analysis of (binary) image data
- Monte-Carlo simulation
- Spatial statistics, Geostatistics
- Detection of geometrical features in 2D and 3D images
- Correlation of the nano structure and the macroscopical attributes of materials (virtual material design)
- Application of statistical analysis of (micro- and macroscopic) image data, quantitative characterisation of their morphological structure
- Computer based statistics
- Stochastic image analysis and image processing
- Fractal geometry
- Insurance mathematics and risk theory
- Stochastic networks
- Random fields
Current Projects
- 3D Modeling the photoactive layer in polymer solar cells, embedded in the priority programme 'Elementary Processes of Organic Photovoltaics' (SPP 1355) by the Deutsche Forschungsgemeinschaft (DFG)
- GeoStoch project for spatial statistics
- Stochastic modeling and analysis of telecommunication networks - cooperation with France Telecom
- Limit theorems for spatial stochastic models - Cooperation with Lomonosov State University, Moscow, Russia (DAAD) (Contact: Prof. Spodarev)
- Statistical estimation of population density maps for North America from radiocarbon data - cooperation with University of Ottawa. Contact: Prof. Schmidt.
- Model-based prediction of area weather events - cooperation with Deutscher Wetterdienst. Contact: Prof. Schmidt
- Stochastic 3D modeling of pore spaces in Opalinus clay - cooperation with Zurich University of Applied Sciences, Winterthur, Schweiz. Contact: Prof. Schmidt and Matthias Neumann
- Stochastic particle models for quantification of relationships between process parameters, structural characteristics and material properties, embedded in the priority programme 'Dynamic Simulation of Interconnected Solids Processes' (SPP 1679) by the Deutsche Forschungsgemeinschaft (DFG). Contact: Prof. Schmidt
- Stochastic spatiotemporal analysis of 3D particle systems under shear and statistical validation of numerical DEM simulations, embedded in the priority programme 'Particle in Contact' (SPP 1486) by the Deutsche Forschungsgemeinschaft (DFG). Contact: Prof. Schmidt
- Stochastic modelling of (aged) electrode morphologies in Li-ion batteries, supported by the BMBF. Contact: Prof. Schmidt, Julian Feinauer and Daniel Westhoff
- Parametric representation and stochastic 3D modeling of grain microstructures in polycystalline materials using random marked tessellations, in cooperation with the Charles University in Prague and supported by the Deutsche Forschungsgemeinschaft (DFG), Czech Science Foundation (GARC) and the Institute of Physics of the Czech Academy of Sciences. Contact: Prof. Schmid
- Computer-based classifikation of fullerenes (Details) (cooperation with Skoltech, Moskau), contact: A. Bille, Prof. Spodarev
- Detection of change points and excursion sets of random fields with long memory, DFG, contact: Dr. Makogin, Prof. Spodarev
Past Projects
- 3D analyse, modellierung und simulation of mikrostruktur in fiber based porous materials, supported by the BMBF
- New dialectometry using methods of stochastic image analysis with software GeoLing - cooperation with the Chair for German Philology, University of Augsburg
- Research Training Group 1100 "Modeling, analysis and simulation in Economathematics" of the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) at Ulm University
- Analysis of low-dimensional structures in 3D image data. BMBF project in cooperation with TU-Kaiserslautern, Hochschule Darmstadt, ITWM and Univeristy of Heidelberg
- Geometry and asymptotics of random structures (DFG-RFBR) - Cooperation with the St. Petersburg Branch of Steklov Mathematical Institute (POMI) and St. Petersburg State University
- Classification of grayscale images using methods from stochastic geometry and spatial statistics. A project within the assistant professor program of the State of Baden-Württemberg
- Collaborative Research Centre 518 "Inflammation, regeneration and transformation in the pancreas" of the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG)
- Modeling of the gas diffusion layer in fuel cells
- Prediction of traffic states - In cooperation with German Aerospace Center, Institute of Transport Research in Berlin
- Spatial risk analysis and risk modeling in property insurance - In cooperation with Generali Versicherung Wien
- Statistical analysis of spatial point patterns - applications to economical, biomedical and ecological data (DFG-Graduiertenkolleg 1100)
- Statistical space-time analysis of tropical cyclone track data with special regard to climatological cycles and trends in the western North Pacific and the Atlantic Ocean - In cooperation with Munich Re
- Stereology for fibrous random media via numerical inversion of spherical Radon transforms (DFG) (Contact: Prof. Spodarev)
Statistical consulting
The institute of Stochastics offers statistical consulting to institutes at Ulm University as well as to companies.
If you are interested please contact Prof. Spodarev or Prof. Schmidt.