Florian Schweiger

I am a lecturer at the University of Bath. Previously, I was a postdoc at the University of Geneva, hosted by Hugo Duminil-Copin. Before that, I was a postdoc at the Weizmann Institute of Science, hosted by Ofer Zeitouni. I did my PhD at the University of Bonn, supervised by Stefan Müller.

Contact:

Florian Schweiger
Department of Mathematical Sciences
University of Bath
Claverton Down
Bath
BA2 7AY
United Kingdom

E-Mail: fms68(at)bath.ac.uk

Research:

• stochastic interface models
• topological phase transitions
• log-correlated fields and their extremes
• correlated percolation models
• regularity theory for (discrete) elliptic operators

Publications:

• Stefan Müller, Florian Schweiger, Estimates for the Green's function of the discrete bilaplacian in dimensions 2 and 3, Vietnam J. Math. 47 (2019), no. 1, 133–181 (Journal, arXiv:1712.02587)
• Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt, Florian Schweiger, Probability to be positive for the membrane model in dimensions 2 and 3, Electron. Commun. Probab. 24 (2019), Paper No. 44, 14 pp (Journal, arXiv:1810.05062)
• Florian Schweiger, The maximum of the four-dimensional membrane model, Ann. Probab. 48 (2020), no. 2, 714–741 (Journal, arXiv:1903.02522 )
• Stefan Müller, Florian Schweiger, Endre Süli, Optimal order finite difference approximation of generalized solutions to the biharmonic equation in a cube, SIAM J. Numer. Anal. 58 (2020), no. 1, 298–329 (Journal, arXiv:1904.02084)
• Florian Schweiger, Pinning for the critical and supercritical membrane model, Prob. Math. Phys. 2 (2021), no. 4, 745–820 (Journal, arXiv:2005.14701)
• Florian Schweiger, Finite range decompositions of Gaussian fields with applications to level-set percolation, J. Funct. Anal. 286 (2024), no. 5, Paper No. 110285, 34 pp (Journal, arXiv:2212.05756)
• Florian Schweiger, Ofer Zeitouni, The maximum of log-correlated Gaussian fields in random environments, Comm. Pure Appl. Math. 77 (2024), no. 5, 2778–2859 (Journal, arXiv:2205.07210)
• Clément Cosco, Shuta Nakajima, Florian Schweiger, Asymptotics of the p-capacity in the critical regime, J. Convex Anal., to appear (arXiv:2112.03661)
• Nicola De Nitti, Florian Schweiger, Scaling limits for fractional polyharmonic Gaussian fields, Ann. Inst. Henri Poincaré Probab. Stat., to appear (arXiv:2301.13781)
• Florian Schweiger, Wei Wu, Ofer Zeitouni, Tightness of the maximum of Ginzburg-Landau fields, Ann. Probab., to appear (arXiv:2403.11500)

Preprints:

• Sébastien Ott, Florian Schweiger, Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt (arXiv:2505.16804)

Thesis:

• Florian Schweiger, On the membrane model and the discrete Bilaplacian, Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn (2021) (BonnDoc)

Coauthors:

Short CV: