Simon Gabriel's homepage
I am a PostDoc in the Mathematics Cluster of Excellence at the University of Münster, in the research group of Hendrik Weber. My interests lie in stochastic analysis and Markov processes, in particular stochastic partial differential equations and interacting particle systems.
Before coming to Münster, I was a PhD student at the University of Warwick, advised by Nikos Zygouras and Paul Chleboun. I completed both my BSc and MSc in Maths at the Technical University of Munich.
You can contact me via email: simon.gabriel@uni-muenster.de
Publications and preprints
- The Allen-Cahn equation with weakly critical random initial datum (with Tommaso Rosati and Nikos Zygouras). Accepted for publication in Prob. Th. Rel. Fields, 2023. [arXiv]
- Size-biased diffusion limits and the inclusion process (with Paul Chleboun and Stefan Grosskinsky). Elect. J. Prob. (2024), Vol. 29, paper no. 65. [arXiv, doi]
- Poisson-Dirichlet asymptotics in condensing particle systems (with Paul Chleboun and Stefan Grosskinsky). Elect. J. Prob. (2022), Vol. 27, paper no. 155. [arXiv, doi]
- Central limit theorems for the (2+1)-dimensional directed polymer in the weak disorder limit. Ann. Inst. H. Poincaré Probab. Statist. 59 (4) 1984 - 2016, (2023). [arXiv, doi]
Other writings
- Global solutions and coming down from infinity, I (with Ruoyuan Liu). Oberwolfach Reports. Arbeitsgemeinschaft: QFT and Stochastic PDEs (2023). [doi]
- Critical scaling limits and singular SPDEs. (PhD Thesis). Mathematics Institute, University of Warwick, (2023). [wrap]