Research
Overview
I am currently substitute professor for Probability Theory at the University of Potsdam, on leave from the Weierstrass Institute, where I am a post-doctoral researcher in the Interacting Random Systems group.
I also organise our group seminar.
My research interests are in probability theory, in particular (classical and quantum) statistical mechanics, with a special focus on the theory of point processes. In my work, I mainly deal with many-particle spatial systems inspired by physics, which can describe phase-transition phenomena.
Co-authors (in alphabetical order):
Myriam Fradon, Pierre Houdebert, Benedikt Jahnel, Julian Kern, Wolfgang König, Jonas Köppl, Christof Külske, Sylvie Rœlly, Yannic Steenbeck, Quirin Vogel.
Publications and preprints
Marked Gibbs point processes with unbounded interaction: an existence result
with S. Rœlly
Journal of Statistical Physics 179, pp. 972–996 (2020)
arXiv:1911.12800An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
with P. Houdebert
Journal of Applied Probability 59.2, pp. 541–555 (2022)
arXiv:2009.06352Gibbs point processes on path space: existence, cluster expansion and uniqueness
Markov Processes and Related Fields 28, pp. 329–364 (2022)
arXiv:2106.14000Diffusion dynamics for an infinite system of two-type spheres and the associated depletion effect
with M. Fradon, J. Kern, and S. Rœlly
Stochastic Processes and their Applications 171, 104319 (2024)
arXiv:2306.02672Locality properties for discrete and continuum Widom–Rowlinson models in random environments
with B. Jahnel and C. Külske
arXiv:2311.07146Off-diagonal long-range order for the free Bose gas via the Feynman–Kac formula
with W. König and Q. Vogel
arXiv:2312.07481The variational principle for a marked Gibbs point process with infinite-range multibody interactions
with B. Jahnel, J. Köppl, and Y. Steenbeck
arXiv:2408.17170Infinite-dimensional diffusions and depletion interaction for a model of colloids
with M. Fradon
arXiv:2502.15628
A Gibbs point process of diffusions: existence and uniqueness
Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics, Lectures in Pure and Applied Mathematics 6, pp. 13–22 (2020)