Preprint
Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field
Preprint (2026)
Lecturer · University of Bath
Florian
Schweiger
I work in probability theory and its intersections with analysis, with a particular interest in random interfaces, critical phenomena, and correlated fields.
About
I am a lecturer at the University of Bath, where I am a member of ProbLaB. Previously, I was a postdoc at the University of Geneva, hosted by Hugo Duminil-Copin, and at the Weizmann Institute of Science, hosted by Ofer Zeitouni.
I completed my PhD at the University of Bonn under the supervision of Stefan Müller.
Research interests
Questions at the intersection of probability, analysis and statistical mechanics
- Stochastic interface models
- Topological phase transitions
- Log-correlated fields and their extremes
- Correlated percolation models
- Regularity theory for discrete elliptic operators
Publications
Preprints & forthcoming
Preprint
Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt
Preprint (2025)
To appear
Published papers
2026
Asymptotics of the p-capacity in the critical regime
Journal of Convex Analysis 33 (2026), no. 1–2, 13–27
2026
Scaling limits for fractional polyharmonic Gaussian fields
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 62 (2026), no. 2, 802–829
2024
Finite range decompositions of Gaussian fields with applications to level-set percolation
Journal of Functional Analysis 286 (2024), no. 5, Paper No. 110285
2024
The maximum of log-correlated Gaussian fields in random environments
Communications on Pure and Applied Mathematics 77 (2024), no. 5, 2778–2859
2021
Pinning for the critical and supercritical membrane model
Probability and Mathematical Physics 2 (2021), no. 4, 745–820
2020
The maximum of the four-dimensional membrane model
Annals of Probability 48 (2020), no. 2, 714–741
2020
Optimal order finite difference approximation of generalized solutions to the biharmonic equation in a cube
SIAM Journal on Numerical Analysis 58 (2020), no. 1, 298–329
2019
Estimates for the Green's function of the discrete bilaplacian in dimensions 2 and 3
Vietnam Journal of Mathematics 47 (2019), no. 1, 133–181
2019
Probability to be positive for the membrane model in dimensions 2 and 3
Electronic Communications in Probability 24 (2019), Paper No. 44
Thesis
Thesis
On the membrane model and the discrete Bilaplacian
Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn (2021)
Short CV
2026—
Current appointment
Lecturer
Department of Mathematical Sciences
University of Bath, United Kingdom
2023—2025
Academic appointment
Postdoctoral researcher
University of Geneva, Switzerland
Host: Hugo Duminil-Copin
2021—2023
Academic appointment
Postdoctoral researcher
Weizmann Institute of Science, Israel
Host: Ofer Zeitouni
2016—2020
Education
PhD studies in Mathematics
University of Bonn, Germany
Supervisor: Stefan Müller
2015—2016
Education
MSc Mathematics
University of Bonn, Germany
2014—2015
Education
MSc Mathematics
University of Toronto, Canada
2011—2014
Education
BSc Mathematics
University of Bonn, Germany