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Can you guess the volume?

PhD defence, Friday 18 September 2020. Mads Stehr.

2020.09.18 | Sunitha Satkunam

Mads Stehr

During his PhD studies, Mads Stehr has investigated different questions related to 1) the estimation of volume, and 2) spatial and temporal stochastic systems.

For instance, he has investigated how to estimate the integral of a function, which is known at a sequence of points with unequal mutual distances. This corresponds to the estimation of the volume of a 3-dimensional object from area measurements in parallel section profiles. However, it is of great mathematical interest in itself. The research shows that a newly suggested estimation procedure has improved precision compared to the existing methods. 

Furthermore, Mads Stehr has considered so-called extremal events for a class of space- and time-dependent stochastic systems known as Lévy-driven fields. As an example, he has characterized the probability that there is a location in space and time such that the system attains a given large value. This could for instance correspond to the examination of whether rain of a given magnitude will occur somewhere in a bounded land area within a fixed time horizon.

The PhD study was completed at the Department of Mathematics, Faculty of Natural Sciences, Aarhus University.

This summary was prepared by the PhD student.

Time: Friday 18 September 2020 at 12:15
Place: Building 1531, room 119 (Auditorium D2), Department of Mathematics, Ny Munkegade 118, 8000 Aarhus C
Title of PhD thesis: Stereology and Spatio-Temporal Models
Contact information: Mads Stehr, e-mail: mads.stehr@math.au.dk, tel.: +45 2071 2241
Members of the assessment committee:
Professor Thomas Mikosch, Department of Mathematics, University of Copenhagen, Denmark
Professor Gunther Leobacher, Institute of Mathematics and Scientific Computing, University of Graz, Austria
Associate Professor Andreas Basse-O’Connor (chairman), Department of Mathematics, Aarhus University, Denmark
Main supervisor:
Associate Professor Markus Kiderlen, Department of Mathematics, Aarhus University, Denmark
Co-supervisor:
Associate Professor Anders Rønn-Nielsen, Department of Finance, Copenhagen Business School, Denmark
Language: The PhD dissertation will be defended in English

The defence is public.

Due to the coronavirus situation, the PhD thesis will not be available for reading at the offices of the PhD administration. Instead, interested parties may send an e-mail to gradschool.nat@au.dk to receive a digital copy of the PhD thesis. Please note, it may in certain cases be necessary to make an individual arrangement to read the PhD thesis.

PhD defence
16882 / i43