# AU-MATH

## Stochastic geometry group at Department of Mathematics, Aarhus University

The **stochastic geometry group** comprises presently the following researchers:

**Ina Trolle Andersen**, postdoc**Rikke Krogh Eriksen**, PhD student**Ute Hahn**, associate professor**Eva B. Vedel Jensen**, professor**Markus Kiderlen**, associate professor**Andrew du Plessis**, associate professor**Anders Rønn-Nielsen**, associate professor**Mads Stehr**, PhD student**Helene Svane**, PhD student

Within CSGB, the AU-math group is engaged in advanced mathematical research as well as in practical applications.

A key research topic for AU-math is **tensor valuations in stochastic geometry**, including their integral geometry, their role in stochastic modelling and their estimation from digital grey-value images. Tensor valuations may be used as shape descriptors. Methods for estimating shape and orientation of particles from tensor valuations are studied in close collaboration with AU-bio.

Another important research topic for AU-math concerns **statistics for stochastic geometry models**. In particular, the statistical properties of Monte Carlo envelope tests for functional data are studied.

### Competences

- Stereology
- Stochastic geometry
- Topology
- Statistics for functional data
- Brain imaging