Many real-life phenomena that evolve in both space and time like heat diffusion, particle movement or plate deformation are modeled through stochastic partial differential equations. During his PhD studies, Anton Tiepner investigated statistical estimation methods to recover unknown quantities appearing in such equations. Since the amount of available data is limited in practice, he constructed and analyzed estimators that took only spatially localized information into account.

Anton’s findings provide new insights on the strengths and limitations of mentioned local observations, and further extend existing analytical and statistical results in his research field.

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: Tuesday, 8 October 2024 at 10:15
Place: Building 1532, room 122, Aud-G2, Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000 Aarhus C
Title of PhD thesis: Statistical inference for stochastic partial differential equations from local measurements
Contact information: Anton Tiepner, e-mail: tiepner@math.au.dk, tel.: +45 81980191
Members of the assessment committee:
Professor Annika Lang, Department of Mathematical Sciences, Chalmers University of Technology & University of Gothenburg, Sweden
Professor Bo Markussen, Department of Mathematical Sciences, University of Copenhagen, Denmark
Associate Professor Markus Kiderlen (chair), Department of Mathematics, Aarhus University, Denmark
Main supervisor:
Associate Professor Claudia Strauch, Department of Mathematics, Aarhus University, Denmark
Language: The PhD dissertation will be defended in English

The defence is public.
The PhD thesis is available for reading at the Graduate School of Natural Sciences/GSNS, Ny Munkegade 120, building 1521, 8000 Aarhus C