معرفی
Prof. Dr. Peter Kern is a Chair of Mathematical Statistics and Probability Theory at the Mathematical Institute of Heinrich Heine University Düsseldorf (HHU). His research focuses on stochastic processes, self-similarity, operator scaling, and fractal geometry, with significant contributions to limit theorems and fractional calculus.
Prof. Kern has co-authored numerous peer-reviewed publications on topics such as semi-fractional diffusion equations, dilatively stable processes, and the Hausdorff dimension of Lévy processes. His recent work includes collaborations with researchers from HHU, Bochum, and Siegen on digital educational resources for stochastics, funded by the Ministry of Culture and Science of North Rhine-Westphalia.
In his field, Prof. Kern explores connections between operator stable laws, semistable distributions, and their applications to random walks, fractal path properties, and stochastic modeling. He is actively involved in developing interactive learning tools and video tutorials for mathematics education, targeting students in natural and engineering sciences.
Prof. Kern's funded projects include "Digital Materials in Stochastics Teaching" (OERContent.nrw, 10/2020–09/2022), "Dimension of Multivariate Self-Similar Processes" (DFG, 2013–2016), and "Dilatively Stable Processes" (DAAD-MÖB, 2014–2015).
