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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
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Revised 25.09.2017