Young Research Fellow: Peter Morfe

We welcome Dr. Peter Morfe as a new Young Research Fellow at our Cluster. He is a postdoctoral research fellow at the Max Planck Institute for Mathematics in the Sciences in Leipzig (MPI Leipzig), supervised by Felix Otto. He is an expert in the theory of homogenisation of elliptic and parabolic differential operators, including the case of operators with random coefficients.

In 2022, together with coauthors at MPI Leipzig, he proved sharp $\sqrt(\log t)$ corrections to diffusivity for a particle evolving in a time-independent, divergence free random environment, using methods of stochastic homogenisation for elliptic operators in divergence form. Around the same time, using completely different methods, Hendrik Weber and Guilherme De Lima Feltes (both at Mathematics Münster) proved a similar result for a version of the same problem in a time-dependent environment. The aim of his stay is to explore whether the time-dependent setting can also be addressed using his methods, replacing elliptic homogenisation with parabolic homogenisation.

Link:
Mathematics Münster's programme for "Young Research Fellows"