Münster Research Fellow Kilian Raschel

Prof. Dr. Kilian Raschel (CNRS, Université de Tours) is a Münster Research Fellow and visits our Cluster for the third time. He works at the interface of combinatorics, harmonic analysis, and probability. A central theme of his research is the study of random walks in the quarter plane and analogs in higher dimensions, approached from combinatorial, analytic, and probabilistic perspectives. He is widely regarded as one of the leading European researchers in modern random walk theory.

In this context, a key tool is the analysis of generating functions, using techniques such as path counting as well as recursive and differential equations. Together with coauthors, he has resolved two major conjectures in combinatorics, due to Mireille Bousquet-Mélou and Marni Mishna, and Ira Gessel.

Beyond these contributions, Kilian Raschel works on applications in biology, Martin boundary theory for Markov chains, discrete harmonic functions, and problems in statistical mechanics. He is a former ERC Starting Grant holder, has received several prizes, and has published nearly 70 articles in peer-reviewed journals.

During his stay in Münster from 15 July to 15 August 2026 he will further conduct joint research with Prof. Dr. Gerold Alsmeyer and Prof. Dr. Zakhar Kabluchko on persistence problems for autoregressive and moving average processes. 

Links:

News on Kilian Raschel's second MRF stay at our Cluster (July 2022)
News on Kilian Raschel's first MRF stay at our Cluster (July 2021)

Mathematics Münster's programme for "Münster Research Fellows"